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Finding the Fourth Proportional to 24,205.71, 36,312.02 and 11,715.46

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Solution

The fourth proportional to 24,205.71, 36,312.02 and 11,715.46 is: 17,574.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,205.71 : 36,312.02 = 11,715.46 : x
  2. Step 2: Convert to fraction form
    24,205.71/36,312.02 = 11,715.46/x
  3. Step 3: Cross multiply
    24,205.71x = 36,312.02 × 11,715.46
  4. Step 4: Simplify right side
    24,205.71x = 425,412,017.83
  5. Step 5: Solve for x
    x = 425,412,017.83/24,205.71
  6. Step 6: Final answer
    x = 17,574.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.