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Finding the Fourth Proportional to 25,898.90, 38,842.72 and 9,260.08

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Solution

The fourth proportional to 25,898.90, 38,842.72 and 9,260.08 is: 13,888.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,898.90 : 38,842.72 = 9,260.08 : x
  2. Step 2: Convert to fraction form
    25,898.90/38,842.72 = 9,260.08/x
  3. Step 3: Cross multiply
    25,898.90x = 38,842.72 × 9,260.08
  4. Step 4: Simplify right side
    25,898.90x = 359,686,500.40
  5. Step 5: Solve for x
    x = 359,686,500.40/25,898.90
  6. Step 6: Final answer
    x = 13,888.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.