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Finding the Fourth Proportional to 15,668.29, 23,501.18 and 6,301.71

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Solution

The fourth proportional to 15,668.29, 23,501.18 and 6,301.71 is: 9,452.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,668.29 : 23,501.18 = 6,301.71 : x
  2. Step 2: Convert to fraction form
    15,668.29/23,501.18 = 6,301.71/x
  3. Step 3: Cross multiply
    15,668.29x = 23,501.18 × 6,301.71
  4. Step 4: Simplify right side
    15,668.29x = 148,097,621.02
  5. Step 5: Solve for x
    x = 148,097,621.02/15,668.29
  6. Step 6: Final answer
    x = 9,452.06

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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.