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Finding the Fourth Proportional to 15,758.57, 23,638.10 and 4,666.39

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Solution

The fourth proportional to 15,758.57, 23,638.10 and 4,666.39 is: 6,999.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,758.57 : 23,638.10 = 4,666.39 : x
  2. Step 2: Convert to fraction form
    15,758.57/23,638.10 = 4,666.39/x
  3. Step 3: Cross multiply
    15,758.57x = 23,638.10 × 4,666.39
  4. Step 4: Simplify right side
    15,758.57x = 110,304,486.93
  5. Step 5: Solve for x
    x = 110,304,486.93/15,758.57
  6. Step 6: Final answer
    x = 6,999.65

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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.