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Finding the Fourth Proportional to 15,497.40, 23,294.70 and 15,205.80

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Solution

The fourth proportional to 15,497.40, 23,294.70 and 15,205.80 is: 22,856.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,497.40 : 23,294.70 = 15,205.80 : x
  2. Step 2: Convert to fraction form
    15,497.40/23,294.70 = 15,205.80/x
  3. Step 3: Cross multiply
    15,497.40x = 23,294.70 × 15,205.80
  4. Step 4: Simplify right side
    15,497.40x = 354,214,549.26
  5. Step 5: Solve for x
    x = 354,214,549.26/15,497.40
  6. Step 6: Final answer
    x = 22,856.39

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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.