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Finding the Fourth Proportional to 15,684.71, 23,529.42 and 4,590

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Solution

The fourth proportional to 15,684.71, 23,529.42 and 4,590 is: 6,885.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684.71 : 23,529.42 = 4,590 : x
  2. Step 2: Convert to fraction form
    15,684.71/23,529.42 = 4,590/x
  3. Step 3: Cross multiply
    15,684.71x = 23,529.42 × 4,590
  4. Step 4: Simplify right side
    15,684.71x = 108,000,037.80
  5. Step 5: Solve for x
    x = 108,000,037.80/15,684.71
  6. Step 6: Final answer
    x = 6,885.69

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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.