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Finding the Fourth Proportional to 14,153.52, 19,532.16 and 7,865.76

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Solution

The fourth proportional to 14,153.52, 19,532.16 and 7,865.76 is: 10,854.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,153.52 : 19,532.16 = 7,865.76 : x
  2. Step 2: Convert to fraction form
    14,153.52/19,532.16 = 7,865.76/x
  3. Step 3: Cross multiply
    14,153.52x = 19,532.16 × 7,865.76
  4. Step 4: Simplify right side
    14,153.52x = 153,635,282.84
  5. Step 5: Solve for x
    x = 153,635,282.84/14,153.52
  6. Step 6: Final answer
    x = 10,854.92

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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.