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Finding the Fourth Proportional to 13,437.06, 18,543.75 and 7,468.65

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Solution

The fourth proportional to 13,437.06, 18,543.75 and 7,468.65 is: 10,307.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,437.06 : 18,543.75 = 7,468.65 : x
  2. Step 2: Convert to fraction form
    13,437.06/18,543.75 = 7,468.65/x
  3. Step 3: Cross multiply
    13,437.06x = 18,543.75 × 7,468.65
  4. Step 4: Simplify right side
    13,437.06x = 138,496,778.44
  5. Step 5: Solve for x
    x = 138,496,778.44/13,437.06
  6. Step 6: Final answer
    x = 10,307.07

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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.