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Finding the Fourth Proportional to 28,470.16, 39,289.08 and 16,534

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Solution

The fourth proportional to 28,470.16, 39,289.08 and 16,534 is: 22,817.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,470.16 : 39,289.08 = 16,534 : x
  2. Step 2: Convert to fraction form
    28,470.16/39,289.08 = 16,534/x
  3. Step 3: Cross multiply
    28,470.16x = 39,289.08 × 16,534
  4. Step 4: Simplify right side
    28,470.16x = 649,605,648.72
  5. Step 5: Solve for x
    x = 649,605,648.72/28,470.16
  6. Step 6: Final answer
    x = 22,817.07

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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.