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Finding the Fourth Proportional to 14,681.64, 20,257.54 and 8,715.25

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Solution

The fourth proportional to 14,681.64, 20,257.54 and 8,715.25 is: 12,025.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,681.64 : 20,257.54 = 8,715.25 : x
  2. Step 2: Convert to fraction form
    14,681.64/20,257.54 = 8,715.25/x
  3. Step 3: Cross multiply
    14,681.64x = 20,257.54 × 8,715.25
  4. Step 4: Simplify right side
    14,681.64x = 176,549,525.49
  5. Step 5: Solve for x
    x = 176,549,525.49/14,681.64
  6. Step 6: Final answer
    x = 12,025.19

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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.