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Finding the Fourth Proportional to 25,777.40, 38,643.60 and 9,993.20

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Solution

The fourth proportional to 25,777.40, 38,643.60 and 9,993.20 is: 14,981.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,777.40 : 38,643.60 = 9,993.20 : x
  2. Step 2: Convert to fraction form
    25,777.40/38,643.60 = 9,993.20/x
  3. Step 3: Cross multiply
    25,777.40x = 38,643.60 × 9,993.20
  4. Step 4: Simplify right side
    25,777.40x = 386,173,223.52
  5. Step 5: Solve for x
    x = 386,173,223.52/25,777.40
  6. Step 6: Final answer
    x = 14,981.08

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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.