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Finding the Fourth Proportional to 22,901.95, 31,605.60 and 12,830.47

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Solution

The fourth proportional to 22,901.95, 31,605.60 and 12,830.47 is: 17,706.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,901.95 : 31,605.60 = 12,830.47 : x
  2. Step 2: Convert to fraction form
    22,901.95/31,605.60 = 12,830.47/x
  3. Step 3: Cross multiply
    22,901.95x = 31,605.60 × 12,830.47
  4. Step 4: Simplify right side
    22,901.95x = 405,514,777.34
  5. Step 5: Solve for x
    x = 405,514,777.34/22,901.95
  6. Step 6: Final answer
    x = 17,706.56

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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.