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Finding the Fourth Proportional to 14,011.52, 19,335.88 and 7,724

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Solution

The fourth proportional to 14,011.52, 19,335.88 and 7,724 is: 10,659.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,011.52 : 19,335.88 = 7,724 : x
  2. Step 2: Convert to fraction form
    14,011.52/19,335.88 = 7,724/x
  3. Step 3: Cross multiply
    14,011.52x = 19,335.88 × 7,724
  4. Step 4: Simplify right side
    14,011.52x = 149,350,337.12
  5. Step 5: Solve for x
    x = 149,350,337.12/14,011.52
  6. Step 6: Final answer
    x = 10,659.11

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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.