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Finding the Fourth Proportional to 25,773.82, 38,664 and 9,130.60

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Solution

The fourth proportional to 25,773.82, 38,664 and 9,130.60 is: 13,697.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,773.82 : 38,664 = 9,130.60 : x
  2. Step 2: Convert to fraction form
    25,773.82/38,664 = 9,130.60/x
  3. Step 3: Cross multiply
    25,773.82x = 38,664 × 9,130.60
  4. Step 4: Simplify right side
    25,773.82x = 353,025,518.40
  5. Step 5: Solve for x
    x = 353,025,518.40/25,773.82
  6. Step 6: Final answer
    x = 13,697.06

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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.