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Finding the Fourth Proportional to 22,817.88, 31,486.41 and 12,746.10

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Solution

The fourth proportional to 22,817.88, 31,486.41 and 12,746.10 is: 17,588.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,817.88 : 31,486.41 = 12,746.10 : x
  2. Step 2: Convert to fraction form
    22,817.88/31,486.41 = 12,746.10/x
  3. Step 3: Cross multiply
    22,817.88x = 31,486.41 × 12,746.10
  4. Step 4: Simplify right side
    22,817.88x = 401,329,008.51
  5. Step 5: Solve for x
    x = 401,329,008.51/22,817.88
  6. Step 6: Final answer
    x = 17,588.36

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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.