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Finding the Fourth Proportional to 22,509.51, 31,062.69 and 12,438.06

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Solution

The fourth proportional to 22,509.51, 31,062.69 and 12,438.06 is: 17,164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.51 : 31,062.69 = 12,438.06 : x
  2. Step 2: Convert to fraction form
    22,509.51/31,062.69 = 12,438.06/x
  3. Step 3: Cross multiply
    22,509.51x = 31,062.69 × 12,438.06
  4. Step 4: Simplify right side
    22,509.51x = 386,359,601.98
  5. Step 5: Solve for x
    x = 386,359,601.98/22,509.51
  6. Step 6: Final answer
    x = 17,164.28

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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.