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Finding the Fourth Proportional to 14,527.90, 21,812.10 and 9,295.30

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Solution

The fourth proportional to 14,527.90, 21,812.10 and 9,295.30 is: 13,955.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,527.90 : 21,812.10 = 9,295.30 : x
  2. Step 2: Convert to fraction form
    14,527.90/21,812.10 = 9,295.30/x
  3. Step 3: Cross multiply
    14,527.90x = 21,812.10 × 9,295.30
  4. Step 4: Simplify right side
    14,527.90x = 202,750,013.13
  5. Step 5: Solve for x
    x = 202,750,013.13/14,527.90
  6. Step 6: Final answer
    x = 13,955.91

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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.