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Finding the Fourth Proportional to 16,070.13, 24,102.72 and 9,828

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Solution

The fourth proportional to 16,070.13, 24,102.72 and 9,828 is: 14,740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,070.13 : 24,102.72 = 9,828 : x
  2. Step 2: Convert to fraction form
    16,070.13/24,102.72 = 9,828/x
  3. Step 3: Cross multiply
    16,070.13x = 24,102.72 × 9,828
  4. Step 4: Simplify right side
    16,070.13x = 236,881,532.16
  5. Step 5: Solve for x
    x = 236,881,532.16/16,070.13
  6. Step 6: Final answer
    x = 14,740.49

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