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Finding the Fourth Proportional to 12,153.68, 16,774.24 and 7,117.60

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Solution

The fourth proportional to 12,153.68, 16,774.24 and 7,117.60 is: 9,823.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.68 : 16,774.24 = 7,117.60 : x
  2. Step 2: Convert to fraction form
    12,153.68/16,774.24 = 7,117.60/x
  3. Step 3: Cross multiply
    12,153.68x = 16,774.24 × 7,117.60
  4. Step 4: Simplify right side
    12,153.68x = 119,392,246.75
  5. Step 5: Solve for x
    x = 119,392,246.75/12,153.68
  6. Step 6: Final answer
    x = 9,823.55

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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.