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Finding the Fourth Proportional to 22,597.94, 31,184.30 and 12,526.53

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Solution

The fourth proportional to 22,597.94, 31,184.30 and 12,526.53 is: 17,286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,597.94 : 31,184.30 = 12,526.53 : x
  2. Step 2: Convert to fraction form
    22,597.94/31,184.30 = 12,526.53/x
  3. Step 3: Cross multiply
    22,597.94x = 31,184.30 × 12,526.53
  4. Step 4: Simplify right side
    22,597.94x = 390,631,006.85
  5. Step 5: Solve for x
    x = 390,631,006.85/22,597.94
  6. Step 6: Final answer
    x = 17,286.14

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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.