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Finding the Fourth Proportional to 12,224.88, 18,332.82 and 7,547.40

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Solution

The fourth proportional to 12,224.88, 18,332.82 and 7,547.40 is: 11,318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.88 : 18,332.82 = 7,547.40 : x
  2. Step 2: Convert to fraction form
    12,224.88/18,332.82 = 7,547.40/x
  3. Step 3: Cross multiply
    12,224.88x = 18,332.82 × 7,547.40
  4. Step 4: Simplify right side
    12,224.88x = 138,365,125.67
  5. Step 5: Solve for x
    x = 138,365,125.67/12,224.88
  6. Step 6: Final answer
    x = 11,318.32

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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.