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Finding the Fourth Proportional to 13,306.64, 18,341.74 and 9,715.91

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Solution

The fourth proportional to 13,306.64, 18,341.74 and 9,715.91 is: 13,392.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,306.64 : 18,341.74 = 9,715.91 : x
  2. Step 2: Convert to fraction form
    13,306.64/18,341.74 = 9,715.91/x
  3. Step 3: Cross multiply
    13,306.64x = 18,341.74 × 9,715.91
  4. Step 4: Simplify right side
    13,306.64x = 178,206,615.52
  5. Step 5: Solve for x
    x = 178,206,615.52/13,306.64
  6. Step 6: Final answer
    x = 13,392.31

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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.