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Finding the Fourth Proportional to 22,597.40, 31,177.28 and 13,036.00

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Solution

The fourth proportional to 22,597.40, 31,177.28 and 13,036.00 is: 17,985.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,597.40 : 31,177.28 = 13,036.00 : x
  2. Step 2: Convert to fraction form
    22,597.40/31,177.28 = 13,036.00/x
  3. Step 3: Cross multiply
    22,597.40x = 31,177.28 × 13,036.00
  4. Step 4: Simplify right side
    22,597.40x = 406,426,801.01
  5. Step 5: Solve for x
    x = 406,426,801.01/22,597.40
  6. Step 6: Final answer
    x = 17,985.56

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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.