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Finding the Fourth Proportional to 19,784.88, 29,677.32 and 5,937.12

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Solution

The fourth proportional to 19,784.88, 29,677.32 and 5,937.12 is: 8,905.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784.88 : 29,677.32 = 5,937.12 : x
  2. Step 2: Convert to fraction form
    19,784.88/29,677.32 = 5,937.12/x
  3. Step 3: Cross multiply
    19,784.88x = 29,677.32 × 5,937.12
  4. Step 4: Simplify right side
    19,784.88x = 176,197,810.12
  5. Step 5: Solve for x
    x = 176,197,810.12/19,784.88
  6. Step 6: Final answer
    x = 8,905.68

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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.