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Finding the Fourth Proportional to 29,656.32, 44,477.24 and 9,929.76

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Solution

The fourth proportional to 29,656.32, 44,477.24 and 9,929.76 is: 14,892.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,656.32 : 44,477.24 = 9,929.76 : x
  2. Step 2: Convert to fraction form
    29,656.32/44,477.24 = 9,929.76/x
  3. Step 3: Cross multiply
    29,656.32x = 44,477.24 × 9,929.76
  4. Step 4: Simplify right side
    29,656.32x = 441,648,318.66
  5. Step 5: Solve for x
    x = 441,648,318.66/29,656.32
  6. Step 6: Final answer
    x = 14,892.22

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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.