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Finding the Fourth Proportional to 22,946.72, 34,375.65 and 13,436.00

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Solution

The fourth proportional to 22,946.72, 34,375.65 and 13,436.00 is: 20,127.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,946.72 : 34,375.65 = 13,436.00 : x
  2. Step 2: Convert to fraction form
    22,946.72/34,375.65 = 13,436.00/x
  3. Step 3: Cross multiply
    22,946.72x = 34,375.65 × 13,436.00
  4. Step 4: Simplify right side
    22,946.72x = 461,871,061.52
  5. Step 5: Solve for x
    x = 461,871,061.52/22,946.72
  6. Step 6: Final answer
    x = 20,127.98

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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.