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Finding the Fourth Proportional to 25,594.16, 38,391.93 and 9,806.72

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Solution

The fourth proportional to 25,594.16, 38,391.93 and 9,806.72 is: 14,710.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,594.16 : 38,391.93 = 9,806.72 : x
  2. Step 2: Convert to fraction form
    25,594.16/38,391.93 = 9,806.72/x
  3. Step 3: Cross multiply
    25,594.16x = 38,391.93 × 9,806.72
  4. Step 4: Simplify right side
    25,594.16x = 376,498,715.81
  5. Step 5: Solve for x
    x = 376,498,715.81/25,594.16
  6. Step 6: Final answer
    x = 14,710.34

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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.