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Finding the Fourth Proportional to 12,412.80, 18,578.88 and 9,125.28

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Solution

The fourth proportional to 12,412.80, 18,578.88 and 9,125.28 is: 13,658.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.80 : 18,578.88 = 9,125.28 : x
  2. Step 2: Convert to fraction form
    12,412.80/18,578.88 = 9,125.28/x
  3. Step 3: Cross multiply
    12,412.80x = 18,578.88 × 9,125.28
  4. Step 4: Simplify right side
    12,412.80x = 169,537,482.09
  5. Step 5: Solve for x
    x = 169,537,482.09/12,412.80
  6. Step 6: Final answer
    x = 13,658.28

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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.