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Finding the Fourth Proportional to 12,357.13, 18,537.50 and 3,590.91

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Solution

The fourth proportional to 12,357.13, 18,537.50 and 3,590.91 is: 5,386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.13 : 18,537.50 = 3,590.91 : x
  2. Step 2: Convert to fraction form
    12,357.13/18,537.50 = 3,590.91/x
  3. Step 3: Cross multiply
    12,357.13x = 18,537.50 × 3,590.91
  4. Step 4: Simplify right side
    12,357.13x = 66,566,494.13
  5. Step 5: Solve for x
    x = 66,566,494.13/12,357.13
  6. Step 6: Final answer
    x = 5,386.89

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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.