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Finding the Fourth Proportional to 14,315.96, 21,470.70 and 6,527

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Solution

The fourth proportional to 14,315.96, 21,470.70 and 6,527 is: 9,789.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,315.96 : 21,470.70 = 6,527 : x
  2. Step 2: Convert to fraction form
    14,315.96/21,470.70 = 6,527/x
  3. Step 3: Cross multiply
    14,315.96x = 21,470.70 × 6,527
  4. Step 4: Simplify right side
    14,315.96x = 140,139,258.90
  5. Step 5: Solve for x
    x = 140,139,258.90/14,315.96
  6. Step 6: Final answer
    x = 9,789.02

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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.