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Finding the Fourth Proportional to 22,598.19, 31,178.35 and 13,036.78

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Solution

The fourth proportional to 22,598.19, 31,178.35 and 13,036.78 is: 17,986.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,598.19 : 31,178.35 = 13,036.78 : x
  2. Step 2: Convert to fraction form
    22,598.19/31,178.35 = 13,036.78/x
  3. Step 3: Cross multiply
    22,598.19x = 31,178.35 × 13,036.78
  4. Step 4: Simplify right side
    22,598.19x = 406,465,289.71
  5. Step 5: Solve for x
    x = 406,465,289.71/22,598.19
  6. Step 6: Final answer
    x = 17,986.63

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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.