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Finding the Fourth Proportional to 14,948.88, 22,426.02 and 6,184.50

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Solution

The fourth proportional to 14,948.88, 22,426.02 and 6,184.50 is: 9,277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,948.88 : 22,426.02 = 6,184.50 : x
  2. Step 2: Convert to fraction form
    14,948.88/22,426.02 = 6,184.50/x
  3. Step 3: Cross multiply
    14,948.88x = 22,426.02 × 6,184.50
  4. Step 4: Simplify right side
    14,948.88x = 138,693,720.69
  5. Step 5: Solve for x
    x = 138,693,720.69/14,948.88
  6. Step 6: Final answer
    x = 9,277.87

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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.