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Finding the Fourth Proportional to 17,370.58, 23,971.34 and 9,413

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Solution

The fourth proportional to 17,370.58, 23,971.34 and 9,413 is: 12,989.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,370.58 : 23,971.34 = 9,413 : x
  2. Step 2: Convert to fraction form
    17,370.58/23,971.34 = 9,413/x
  3. Step 3: Cross multiply
    17,370.58x = 23,971.34 × 9,413
  4. Step 4: Simplify right side
    17,370.58x = 225,642,223.42
  5. Step 5: Solve for x
    x = 225,642,223.42/17,370.58
  6. Step 6: Final answer
    x = 12,989.91

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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.