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Finding the Fourth Proportional to 25,497.90, 38,232 and 9,897.30

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Solution

The fourth proportional to 25,497.90, 38,232 and 9,897.30 is: 14,840.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,497.90 : 38,232 = 9,897.30 : x
  2. Step 2: Convert to fraction form
    25,497.90/38,232 = 9,897.30/x
  3. Step 3: Cross multiply
    25,497.90x = 38,232 × 9,897.30
  4. Step 4: Simplify right side
    25,497.90x = 378,393,573.60
  5. Step 5: Solve for x
    x = 378,393,573.60/25,497.90
  6. Step 6: Final answer
    x = 14,840.19

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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.