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Finding the Fourth Proportional to 30,206.76, 41,690.79 and 17,458.18

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Solution

The fourth proportional to 30,206.76, 41,690.79 and 17,458.18 is: 24,095.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,206.76 : 41,690.79 = 17,458.18 : x
  2. Step 2: Convert to fraction form
    30,206.76/41,690.79 = 17,458.18/x
  3. Step 3: Cross multiply
    30,206.76x = 41,690.79 × 17,458.18
  4. Step 4: Simplify right side
    30,206.76x = 727,845,421.90
  5. Step 5: Solve for x
    x = 727,845,421.90/30,206.76
  6. Step 6: Final answer
    x = 24,095.45

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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.