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Finding the Fourth Proportional to 22,955.20, 31,677.60 and 13,019.20

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Solution

The fourth proportional to 22,955.20, 31,677.60 and 13,019.20 is: 17,966.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,955.20 : 31,677.60 = 13,019.20 : x
  2. Step 2: Convert to fraction form
    22,955.20/31,677.60 = 13,019.20/x
  3. Step 3: Cross multiply
    22,955.20x = 31,677.60 × 13,019.20
  4. Step 4: Simplify right side
    22,955.20x = 412,417,009.92
  5. Step 5: Solve for x
    x = 412,417,009.92/22,955.20
  6. Step 6: Final answer
    x = 17,966.17

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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.