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Finding the Fourth Proportional to 22,588.16, 31,169.07 and 12,514.08

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Solution

The fourth proportional to 22,588.16, 31,169.07 and 12,514.08 is: 17,268.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,588.16 : 31,169.07 = 12,514.08 : x
  2. Step 2: Convert to fraction form
    22,588.16/31,169.07 = 12,514.08/x
  3. Step 3: Cross multiply
    22,588.16x = 31,169.07 × 12,514.08
  4. Step 4: Simplify right side
    22,588.16x = 390,052,235.51
  5. Step 5: Solve for x
    x = 390,052,235.51/22,588.16
  6. Step 6: Final answer
    x = 17,268.00

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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.