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Finding the Fourth Proportional to 25,291.24, 37,941.74 and 9,707.65

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Solution

The fourth proportional to 25,291.24, 37,941.74 and 9,707.65 is: 14,563.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,291.24 : 37,941.74 = 9,707.65 : x
  2. Step 2: Convert to fraction form
    25,291.24/37,941.74 = 9,707.65/x
  3. Step 3: Cross multiply
    25,291.24x = 37,941.74 × 9,707.65
  4. Step 4: Simplify right side
    25,291.24x = 368,325,132.31
  5. Step 5: Solve for x
    x = 368,325,132.31/25,291.24
  6. Step 6: Final answer
    x = 14,563.35

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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.