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Finding the Fourth Proportional to 10,765.52, 14,852.04 and 10,024.40

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Solution

The fourth proportional to 10,765.52, 14,852.04 and 10,024.40 is: 13,829.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.52 : 14,852.04 = 10,024.40 : x
  2. Step 2: Convert to fraction form
    10,765.52/14,852.04 = 10,024.40/x
  3. Step 3: Cross multiply
    10,765.52x = 14,852.04 × 10,024.40
  4. Step 4: Simplify right side
    10,765.52x = 148,882,789.78
  5. Step 5: Solve for x
    x = 148,882,789.78/10,765.52
  6. Step 6: Final answer
    x = 13,829.60

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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.