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Finding the Fourth Proportional to 30,827.32, 42,541.67 and 17,398.67

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Solution

The fourth proportional to 30,827.32, 42,541.67 and 17,398.67 is: 24,010.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,827.32 : 42,541.67 = 17,398.67 : x
  2. Step 2: Convert to fraction form
    30,827.32/42,541.67 = 17,398.67/x
  3. Step 3: Cross multiply
    30,827.32x = 42,541.67 × 17,398.67
  4. Step 4: Simplify right side
    30,827.32x = 740,168,308.37
  5. Step 5: Solve for x
    x = 740,168,308.37/30,827.32
  6. Step 6: Final answer
    x = 24,010.14

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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.