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Finding the Fourth Proportional to 14,115.16, 19,470.10 and 9,085.92

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Solution

The fourth proportional to 14,115.16, 19,470.10 and 9,085.92 is: 12,532.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,115.16 : 19,470.10 = 9,085.92 : x
  2. Step 2: Convert to fraction form
    14,115.16/19,470.10 = 9,085.92/x
  3. Step 3: Cross multiply
    14,115.16x = 19,470.10 × 9,085.92
  4. Step 4: Simplify right side
    14,115.16x = 176,903,770.99
  5. Step 5: Solve for x
    x = 176,903,770.99/14,115.16
  6. Step 6: Final answer
    x = 12,532.89

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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.