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Finding the Fourth Proportional to 10,501.41, 15,675.27 and 9,255.90

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Solution

The fourth proportional to 10,501.41, 15,675.27 and 9,255.90 is: 13,816.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.41 : 15,675.27 = 9,255.90 : x
  2. Step 2: Convert to fraction form
    10,501.41/15,675.27 = 9,255.90/x
  3. Step 3: Cross multiply
    10,501.41x = 15,675.27 × 9,255.90
  4. Step 4: Simplify right side
    10,501.41x = 145,088,731.59
  5. Step 5: Solve for x
    x = 145,088,731.59/10,501.41
  6. Step 6: Final answer
    x = 13,816.12

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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.