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Finding the Fourth Proportional to 12,582.18, 17,362.22 and 7,545.47

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Solution

The fourth proportional to 12,582.18, 17,362.22 and 7,545.47 is: 10,412.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.18 : 17,362.22 = 7,545.47 : x
  2. Step 2: Convert to fraction form
    12,582.18/17,362.22 = 7,545.47/x
  3. Step 3: Cross multiply
    12,582.18x = 17,362.22 × 7,545.47
  4. Step 4: Simplify right side
    12,582.18x = 131,005,985.60
  5. Step 5: Solve for x
    x = 131,005,985.60/12,582.18
  6. Step 6: Final answer
    x = 10,412.03

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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.