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Finding the Fourth Proportional to 14,972.64, 22,459.05 and 6,650.40

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Solution

The fourth proportional to 14,972.64, 22,459.05 and 6,650.40 is: 9,975.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,972.64 : 22,459.05 = 6,650.40 : x
  2. Step 2: Convert to fraction form
    14,972.64/22,459.05 = 6,650.40/x
  3. Step 3: Cross multiply
    14,972.64x = 22,459.05 × 6,650.40
  4. Step 4: Simplify right side
    14,972.64x = 149,361,666.12
  5. Step 5: Solve for x
    x = 149,361,666.12/14,972.64
  6. Step 6: Final answer
    x = 9,975.64

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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.