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Finding the Fourth Proportional to 25,810.60, 38,715.90 and 9,189.40

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Solution

The fourth proportional to 25,810.60, 38,715.90 and 9,189.40 is: 13,784.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,810.60 : 38,715.90 = 9,189.40 : x
  2. Step 2: Convert to fraction form
    25,810.60/38,715.90 = 9,189.40/x
  3. Step 3: Cross multiply
    25,810.60x = 38,715.90 × 9,189.40
  4. Step 4: Simplify right side
    25,810.60x = 355,775,891.46
  5. Step 5: Solve for x
    x = 355,775,891.46/25,810.60
  6. Step 6: Final answer
    x = 13,784.10

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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.