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Finding the Fourth Proportional to 14,751.31, 20,353.59 and 9,648.01

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Solution

The fourth proportional to 14,751.31, 20,353.59 and 9,648.01 is: 13,312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,751.31 : 20,353.59 = 9,648.01 : x
  2. Step 2: Convert to fraction form
    14,751.31/20,353.59 = 9,648.01/x
  3. Step 3: Cross multiply
    14,751.31x = 20,353.59 × 9,648.01
  4. Step 4: Simplify right side
    14,751.31x = 196,371,639.86
  5. Step 5: Solve for x
    x = 196,371,639.86/14,751.31
  6. Step 6: Final answer
    x = 13,312.15

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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.