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Finding the Fourth Proportional to 22,853.66, 31,537.80 and 13,899.51

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Solution

The fourth proportional to 22,853.66, 31,537.80 and 13,899.51 is: 19,181.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,853.66 : 31,537.80 = 13,899.51 : x
  2. Step 2: Convert to fraction form
    22,853.66/31,537.80 = 13,899.51/x
  3. Step 3: Cross multiply
    22,853.66x = 31,537.80 × 13,899.51
  4. Step 4: Simplify right side
    22,853.66x = 438,359,966.48
  5. Step 5: Solve for x
    x = 438,359,966.48/22,853.66
  6. Step 6: Final answer
    x = 19,181.18

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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.