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Finding the Fourth Proportional to 24,457.80, 36,686.70 and 15,709.80

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Solution

The fourth proportional to 24,457.80, 36,686.70 and 15,709.80 is: 23,564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,457.80 : 36,686.70 = 15,709.80 : x
  2. Step 2: Convert to fraction form
    24,457.80/36,686.70 = 15,709.80/x
  3. Step 3: Cross multiply
    24,457.80x = 36,686.70 × 15,709.80
  4. Step 4: Simplify right side
    24,457.80x = 576,340,719.66
  5. Step 5: Solve for x
    x = 576,340,719.66/24,457.80
  6. Step 6: Final answer
    x = 23,564.70

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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.