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Finding the Fourth Proportional to 22,833.63, 31,509.14 and 12,760.07

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Solution

The fourth proportional to 22,833.63, 31,509.14 and 12,760.07 is: 17,608.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,833.63 : 31,509.14 = 12,760.07 : x
  2. Step 2: Convert to fraction form
    22,833.63/31,509.14 = 12,760.07/x
  3. Step 3: Cross multiply
    22,833.63x = 31,509.14 × 12,760.07
  4. Step 4: Simplify right side
    22,833.63x = 402,058,832.04
  5. Step 5: Solve for x
    x = 402,058,832.04/22,833.63
  6. Step 6: Final answer
    x = 17,608.19

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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.