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Finding the Fourth Proportional to 13,417.42, 18,515.88 and 7,448.86

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Solution

The fourth proportional to 13,417.42, 18,515.88 and 7,448.86 is: 10,279.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,417.42 : 18,515.88 = 7,448.86 : x
  2. Step 2: Convert to fraction form
    13,417.42/18,515.88 = 7,448.86/x
  3. Step 3: Cross multiply
    13,417.42x = 18,515.88 × 7,448.86
  4. Step 4: Simplify right side
    13,417.42x = 137,922,197.90
  5. Step 5: Solve for x
    x = 137,922,197.90/13,417.42
  6. Step 6: Final answer
    x = 10,279.34

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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.