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Finding the Fourth Proportional to 25,335.57, 38,002.44 and 7,804.95

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Solution

The fourth proportional to 25,335.57, 38,002.44 and 7,804.95 is: 11,707.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,335.57 : 38,002.44 = 7,804.95 : x
  2. Step 2: Convert to fraction form
    25,335.57/38,002.44 = 7,804.95/x
  3. Step 3: Cross multiply
    25,335.57x = 38,002.44 × 7,804.95
  4. Step 4: Simplify right side
    25,335.57x = 296,607,144.08
  5. Step 5: Solve for x
    x = 296,607,144.08/25,335.57
  6. Step 6: Final answer
    x = 11,707.14

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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.