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Finding the Fourth Proportional to 14,897.40, 22,325.85 and 9,616.20

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Solution

The fourth proportional to 14,897.40, 22,325.85 and 9,616.20 is: 14,411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897.40 : 22,325.85 = 9,616.20 : x
  2. Step 2: Convert to fraction form
    14,897.40/22,325.85 = 9,616.20/x
  3. Step 3: Cross multiply
    14,897.40x = 22,325.85 × 9,616.20
  4. Step 4: Simplify right side
    14,897.40x = 214,689,838.77
  5. Step 5: Solve for x
    x = 214,689,838.77/14,897.40
  6. Step 6: Final answer
    x = 14,411.23

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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.