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Finding the Fourth Proportional to 12,225.42, 16,854.75 and 9,715.86

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Solution

The fourth proportional to 12,225.42, 16,854.75 and 9,715.86 is: 13,394.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.42 : 16,854.75 = 9,715.86 : x
  2. Step 2: Convert to fraction form
    12,225.42/16,854.75 = 9,715.86/x
  3. Step 3: Cross multiply
    12,225.42x = 16,854.75 × 9,715.86
  4. Step 4: Simplify right side
    12,225.42x = 163,758,391.34
  5. Step 5: Solve for x
    x = 163,758,391.34/12,225.42
  6. Step 6: Final answer
    x = 13,394.91

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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.