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Finding the Fourth Proportional to 16,013.76, 22,102.92 and 9,730.32

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Solution

The fourth proportional to 16,013.76, 22,102.92 and 9,730.32 is: 13,430.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,013.76 : 22,102.92 = 9,730.32 : x
  2. Step 2: Convert to fraction form
    16,013.76/22,102.92 = 9,730.32/x
  3. Step 3: Cross multiply
    16,013.76x = 22,102.92 × 9,730.32
  4. Step 4: Simplify right side
    16,013.76x = 215,068,484.53
  5. Step 5: Solve for x
    x = 215,068,484.53/16,013.76
  6. Step 6: Final answer
    x = 13,430.23

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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.