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Finding the Fourth Proportional to 30,886.82, 42,626.45 and 17,460.46

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Solution

The fourth proportional to 30,886.82, 42,626.45 and 17,460.46 is: 24,096.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,886.82 : 42,626.45 = 17,460.46 : x
  2. Step 2: Convert to fraction form
    30,886.82/42,626.45 = 17,460.46/x
  3. Step 3: Cross multiply
    30,886.82x = 42,626.45 × 17,460.46
  4. Step 4: Simplify right side
    30,886.82x = 744,277,522.10
  5. Step 5: Solve for x
    x = 744,277,522.10/30,886.82
  6. Step 6: Final answer
    x = 24,096.93

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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.