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Finding the Fourth Proportional to 15,663.34, 23,494.56 and 5,802.40

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Solution

The fourth proportional to 15,663.34, 23,494.56 and 5,802.40 is: 8,703.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,663.34 : 23,494.56 = 5,802.40 : x
  2. Step 2: Convert to fraction form
    15,663.34/23,494.56 = 5,802.40/x
  3. Step 3: Cross multiply
    15,663.34x = 23,494.56 × 5,802.40
  4. Step 4: Simplify right side
    15,663.34x = 136,324,834.94
  5. Step 5: Solve for x
    x = 136,324,834.94/15,663.34
  6. Step 6: Final answer
    x = 8,703.43

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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.