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Finding the Fourth Proportional to 22,931.47, 31,643.94 and 12,859.84

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Solution

The fourth proportional to 22,931.47, 31,643.94 and 12,859.84 is: 17,745.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,931.47 : 31,643.94 = 12,859.84 : x
  2. Step 2: Convert to fraction form
    22,931.47/31,643.94 = 12,859.84/x
  3. Step 3: Cross multiply
    22,931.47x = 31,643.94 × 12,859.84
  4. Step 4: Simplify right side
    22,931.47x = 406,936,005.37
  5. Step 5: Solve for x
    x = 406,936,005.37/22,931.47
  6. Step 6: Final answer
    x = 17,745.74

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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.