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Finding the Fourth Proportional to 13,416.80, 18,514.25 and 7,448.00

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Solution

The fourth proportional to 13,416.80, 18,514.25 and 7,448.00 is: 10,277.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.80 : 18,514.25 = 7,448.00 : x
  2. Step 2: Convert to fraction form
    13,416.80/18,514.25 = 7,448.00/x
  3. Step 3: Cross multiply
    13,416.80x = 18,514.25 × 7,448.00
  4. Step 4: Simplify right side
    13,416.80x = 137,894,004.19
  5. Step 5: Solve for x
    x = 137,894,004.19/13,416.80
  6. Step 6: Final answer
    x = 10,277.72

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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.