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Finding the Fourth Proportional to 28,210.82, 42,316.70 and 13,416.75

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Solution

The fourth proportional to 28,210.82, 42,316.70 and 13,416.75 is: 20,125.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,210.82 : 42,316.70 = 13,416.75 : x
  2. Step 2: Convert to fraction form
    28,210.82/42,316.70 = 13,416.75/x
  3. Step 3: Cross multiply
    28,210.82x = 42,316.70 × 13,416.75
  4. Step 4: Simplify right side
    28,210.82x = 567,752,517.64
  5. Step 5: Solve for x
    x = 567,752,517.64/28,210.82
  6. Step 6: Final answer
    x = 20,125.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.