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Finding the Fourth Proportional to 13,364.90, 18,442.78 and 7,397.02

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Solution

The fourth proportional to 13,364.90, 18,442.78 and 7,397.02 is: 10,207.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,364.90 : 18,442.78 = 7,397.02 : x
  2. Step 2: Convert to fraction form
    13,364.90/18,442.78 = 7,397.02/x
  3. Step 3: Cross multiply
    13,364.90x = 18,442.78 × 7,397.02
  4. Step 4: Simplify right side
    13,364.90x = 136,421,612.52
  5. Step 5: Solve for x
    x = 136,421,612.52/13,364.90
  6. Step 6: Final answer
    x = 10,207.45

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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.