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Finding the Fourth Proportional to 30,865.36, 42,597.64 and 17,437.47

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Solution

The fourth proportional to 30,865.36, 42,597.64 and 17,437.47 is: 24,065.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,865.36 : 42,597.64 = 17,437.47 : x
  2. Step 2: Convert to fraction form
    30,865.36/42,597.64 = 17,437.47/x
  3. Step 3: Cross multiply
    30,865.36x = 42,597.64 × 17,437.47
  4. Step 4: Simplify right side
    30,865.36x = 742,795,069.57
  5. Step 5: Solve for x
    x = 742,795,069.57/30,865.36
  6. Step 6: Final answer
    x = 24,065.66

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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.