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Finding the Fourth Proportional to 15,698.90, 23,549.70 and 5,165.75

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Solution

The fourth proportional to 15,698.90, 23,549.70 and 5,165.75 is: 7,749.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,698.90 : 23,549.70 = 5,165.75 : x
  2. Step 2: Convert to fraction form
    15,698.90/23,549.70 = 5,165.75/x
  3. Step 3: Cross multiply
    15,698.90x = 23,549.70 × 5,165.75
  4. Step 4: Simplify right side
    15,698.90x = 121,651,862.78
  5. Step 5: Solve for x
    x = 121,651,862.78/15,698.90
  6. Step 6: Final answer
    x = 7,749.07

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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.