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Finding the Fourth Proportional to 22,985.10, 34,477.65 and 9,838.80

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Solution

The fourth proportional to 22,985.10, 34,477.65 and 9,838.80 is: 14,758.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,985.10 : 34,477.65 = 9,838.80 : x
  2. Step 2: Convert to fraction form
    22,985.10/34,477.65 = 9,838.80/x
  3. Step 3: Cross multiply
    22,985.10x = 34,477.65 × 9,838.80
  4. Step 4: Simplify right side
    22,985.10x = 339,218,702.82
  5. Step 5: Solve for x
    x = 339,218,702.82/22,985.10
  6. Step 6: Final answer
    x = 14,758.20

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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.