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Finding the Fourth Proportional to 25,862.58, 38,797.80 and 13,205.40

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Solution

The fourth proportional to 25,862.58, 38,797.80 and 13,205.40 is: 19,810.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,862.58 : 38,797.80 = 13,205.40 : x
  2. Step 2: Convert to fraction form
    25,862.58/38,797.80 = 13,205.40/x
  3. Step 3: Cross multiply
    25,862.58x = 38,797.80 × 13,205.40
  4. Step 4: Simplify right side
    25,862.58x = 512,340,468.12
  5. Step 5: Solve for x
    x = 512,340,468.12/25,862.58
  6. Step 6: Final answer
    x = 19,810.11

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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.