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Finding the Fourth Proportional to 10,188.32, 14,124.98 and 9,827.46

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Solution

The fourth proportional to 10,188.32, 14,124.98 and 9,827.46 is: 13,624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.32 : 14,124.98 = 9,827.46 : x
  2. Step 2: Convert to fraction form
    10,188.32/14,124.98 = 9,827.46/x
  3. Step 3: Cross multiply
    10,188.32x = 14,124.98 × 9,827.46
  4. Step 4: Simplify right side
    10,188.32x = 138,812,700.52
  5. Step 5: Solve for x
    x = 138,812,700.52/10,188.32
  6. Step 6: Final answer
    x = 13,624.70

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.