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Finding the Fourth Proportional to 14,462.11, 21,695.88 and 6,565.19

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Solution

The fourth proportional to 14,462.11, 21,695.88 and 6,565.19 is: 9,849.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,462.11 : 21,695.88 = 6,565.19 : x
  2. Step 2: Convert to fraction form
    14,462.11/21,695.88 = 6,565.19/x
  3. Step 3: Cross multiply
    14,462.11x = 21,695.88 × 6,565.19
  4. Step 4: Simplify right side
    14,462.11x = 142,437,512.57
  5. Step 5: Solve for x
    x = 142,437,512.57/14,462.11
  6. Step 6: Final answer
    x = 9,849.01

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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.