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Finding the Fourth Proportional to 15,478.22, 23,152.28 and 14,356.47

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Solution

The fourth proportional to 15,478.22, 23,152.28 and 14,356.47 is: 21,474.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,478.22 : 23,152.28 = 14,356.47 : x
  2. Step 2: Convert to fraction form
    15,478.22/23,152.28 = 14,356.47/x
  3. Step 3: Cross multiply
    15,478.22x = 23,152.28 × 14,356.47
  4. Step 4: Simplify right side
    15,478.22x = 332,384,941.47
  5. Step 5: Solve for x
    x = 332,384,941.47/15,478.22
  6. Step 6: Final answer
    x = 21,474.37

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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.