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Finding the Fourth Proportional to 14,302.66, 19,737.32 and 7,929.14

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Solution

The fourth proportional to 14,302.66, 19,737.32 and 7,929.14 is: 10,942.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302.66 : 19,737.32 = 7,929.14 : x
  2. Step 2: Convert to fraction form
    14,302.66/19,737.32 = 7,929.14/x
  3. Step 3: Cross multiply
    14,302.66x = 19,737.32 × 7,929.14
  4. Step 4: Simplify right side
    14,302.66x = 156,499,973.50
  5. Step 5: Solve for x
    x = 156,499,973.50/14,302.66
  6. Step 6: Final answer
    x = 10,942.02

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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.