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Finding the Fourth Proportional to 12,292.61, 16,970.46 and 7,513.66

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Solution

The fourth proportional to 12,292.61, 16,970.46 and 7,513.66 is: 10,372.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292.61 : 16,970.46 = 7,513.66 : x
  2. Step 2: Convert to fraction form
    12,292.61/16,970.46 = 7,513.66/x
  3. Step 3: Cross multiply
    12,292.61x = 16,970.46 × 7,513.66
  4. Step 4: Simplify right side
    12,292.61x = 127,510,301.78
  5. Step 5: Solve for x
    x = 127,510,301.78/12,292.61
  6. Step 6: Final answer
    x = 10,372.92

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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.