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Finding the Fourth Proportional to 28,460.16, 39,275.28 and 16,524

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Solution

The fourth proportional to 28,460.16, 39,275.28 and 16,524 is: 22,803.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,460.16 : 39,275.28 = 16,524 : x
  2. Step 2: Convert to fraction form
    28,460.16/39,275.28 = 16,524/x
  3. Step 3: Cross multiply
    28,460.16x = 39,275.28 × 16,524
  4. Step 4: Simplify right side
    28,460.16x = 648,984,726.72
  5. Step 5: Solve for x
    x = 648,984,726.72/28,460.16
  6. Step 6: Final answer
    x = 22,803.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.