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Finding the Fourth Proportional to 10,200.90, 15,304.95 and 9,840.90

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Solution

The fourth proportional to 10,200.90, 15,304.95 and 9,840.90 is: 14,764.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.90 : 15,304.95 = 9,840.90 : x
  2. Step 2: Convert to fraction form
    10,200.90/15,304.95 = 9,840.90/x
  3. Step 3: Cross multiply
    10,200.90x = 15,304.95 × 9,840.90
  4. Step 4: Simplify right side
    10,200.90x = 150,614,482.46
  5. Step 5: Solve for x
    x = 150,614,482.46/10,200.90
  6. Step 6: Final answer
    x = 14,764.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.