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Finding the Fourth Proportional to 24,465.67, 36,698.51 and 12,776.16

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Solution

The fourth proportional to 24,465.67, 36,698.51 and 12,776.16 is: 19,164.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,465.67 : 36,698.51 = 12,776.16 : x
  2. Step 2: Convert to fraction form
    24,465.67/36,698.51 = 12,776.16/x
  3. Step 3: Cross multiply
    24,465.67x = 36,698.51 × 12,776.16
  4. Step 4: Simplify right side
    24,465.67x = 468,866,035.52
  5. Step 5: Solve for x
    x = 468,866,035.52/24,465.67
  6. Step 6: Final answer
    x = 19,164.24

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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.