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Finding the Fourth Proportional to 14,967.47, 20,656.32 and 8,254.40

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Solution

The fourth proportional to 14,967.47, 20,656.32 and 8,254.40 is: 11,391.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,967.47 : 20,656.32 = 8,254.40 : x
  2. Step 2: Convert to fraction form
    14,967.47/20,656.32 = 8,254.40/x
  3. Step 3: Cross multiply
    14,967.47x = 20,656.32 × 8,254.40
  4. Step 4: Simplify right side
    14,967.47x = 170,505,527.81
  5. Step 5: Solve for x
    x = 170,505,527.81/14,967.47
  6. Step 6: Final answer
    x = 11,391.74

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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.