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Finding the Fourth Proportional to 22,927.64, 31,643.67 and 12,860.15

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Solution

The fourth proportional to 22,927.64, 31,643.67 and 12,860.15 is: 17,748.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,927.64 : 31,643.67 = 12,860.15 : x
  2. Step 2: Convert to fraction form
    22,927.64/31,643.67 = 12,860.15/x
  3. Step 3: Cross multiply
    22,927.64x = 31,643.67 × 12,860.15
  4. Step 4: Simplify right side
    22,927.64x = 406,942,184.53
  5. Step 5: Solve for x
    x = 406,942,184.53/22,927.64
  6. Step 6: Final answer
    x = 17,748.98

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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.