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Finding the Fourth Proportional to 15,406.10, 23,109.15 and 13,000.40

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Solution

The fourth proportional to 15,406.10, 23,109.15 and 13,000.40 is: 19,500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,406.10 : 23,109.15 = 13,000.40 : x
  2. Step 2: Convert to fraction form
    15,406.10/23,109.15 = 13,000.40/x
  3. Step 3: Cross multiply
    15,406.10x = 23,109.15 × 13,000.40
  4. Step 4: Simplify right side
    15,406.10x = 300,428,193.66
  5. Step 5: Solve for x
    x = 300,428,193.66/15,406.10
  6. Step 6: Final answer
    x = 19,500.60

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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.