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Finding the Fourth Proportional to 10,265.68, 15,292.58 and 9,628.24

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Solution

The fourth proportional to 10,265.68, 15,292.58 and 9,628.24 is: 14,343.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.68 : 15,292.58 = 9,628.24 : x
  2. Step 2: Convert to fraction form
    10,265.68/15,292.58 = 9,628.24/x
  3. Step 3: Cross multiply
    10,265.68x = 15,292.58 × 9,628.24
  4. Step 4: Simplify right side
    10,265.68x = 147,240,630.46
  5. Step 5: Solve for x
    x = 147,240,630.46/10,265.68
  6. Step 6: Final answer
    x = 14,343.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.