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Finding the Fourth Proportional to 25,048.40, 37,569.36 and 9,464

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Solution

The fourth proportional to 25,048.40, 37,569.36 and 9,464 is: 14,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,048.40 : 37,569.36 = 9,464 : x
  2. Step 2: Convert to fraction form
    25,048.40/37,569.36 = 9,464/x
  3. Step 3: Cross multiply
    25,048.40x = 37,569.36 × 9,464
  4. Step 4: Simplify right side
    25,048.40x = 355,556,423.04
  5. Step 5: Solve for x
    x = 355,556,423.04/25,048.40
  6. Step 6: Final answer
    x = 14,194.78

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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.