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Finding the Fourth Proportional to 22,877.65, 34,266.49 and 9,510.12

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Solution

The fourth proportional to 22,877.65, 34,266.49 and 9,510.12 is: 14,244.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,877.65 : 34,266.49 = 9,510.12 : x
  2. Step 2: Convert to fraction form
    22,877.65/34,266.49 = 9,510.12/x
  3. Step 3: Cross multiply
    22,877.65x = 34,266.49 × 9,510.12
  4. Step 4: Simplify right side
    22,877.65x = 325,878,431.88
  5. Step 5: Solve for x
    x = 325,878,431.88/22,877.65
  6. Step 6: Final answer
    x = 14,244.40

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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.