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Finding the Fourth Proportional to 22,897.61, 34,351.35 and 7,102.33

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Solution

The fourth proportional to 22,897.61, 34,351.35 and 7,102.33 is: 10,655.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,897.61 : 34,351.35 = 7,102.33 : x
  2. Step 2: Convert to fraction form
    22,897.61/34,351.35 = 7,102.33/x
  3. Step 3: Cross multiply
    22,897.61x = 34,351.35 × 7,102.33
  4. Step 4: Simplify right side
    22,897.61x = 243,974,551.08
  5. Step 5: Solve for x
    x = 243,974,551.08/22,897.61
  6. Step 6: Final answer
    x = 10,655.02

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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.