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Finding the Fourth Proportional to 22,952.10, 34,423.71 and 6,307.89

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Solution

The fourth proportional to 22,952.10, 34,423.71 and 6,307.89 is: 9,460.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952.10 : 34,423.71 = 6,307.89 : x
  2. Step 2: Convert to fraction form
    22,952.10/34,423.71 = 6,307.89/x
  3. Step 3: Cross multiply
    22,952.10x = 34,423.71 × 6,307.89
  4. Step 4: Simplify right side
    22,952.10x = 217,140,976.07
  5. Step 5: Solve for x
    x = 217,140,976.07/22,952.10
  6. Step 6: Final answer
    x = 9,460.61

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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.