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Finding the Fourth Proportional to 17,615.74, 24,314.32 and 10,897.46

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Solution

The fourth proportional to 17,615.74, 24,314.32 and 10,897.46 is: 15,041.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,615.74 : 24,314.32 = 10,897.46 : x
  2. Step 2: Convert to fraction form
    17,615.74/24,314.32 = 10,897.46/x
  3. Step 3: Cross multiply
    17,615.74x = 24,314.32 × 10,897.46
  4. Step 4: Simplify right side
    17,615.74x = 264,964,329.63
  5. Step 5: Solve for x
    x = 264,964,329.63/17,615.74
  6. Step 6: Final answer
    x = 15,041.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.