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Finding the Fourth Proportional to 22,897.42, 31,598.61 and 12,825.98

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Solution

The fourth proportional to 22,897.42, 31,598.61 and 12,825.98 is: 17,699.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,897.42 : 31,598.61 = 12,825.98 : x
  2. Step 2: Convert to fraction form
    22,897.42/31,598.61 = 12,825.98/x
  3. Step 3: Cross multiply
    22,897.42x = 31,598.61 × 12,825.98
  4. Step 4: Simplify right side
    22,897.42x = 405,283,052.29
  5. Step 5: Solve for x
    x = 405,283,052.29/22,897.42
  6. Step 6: Final answer
    x = 17,699.95

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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.