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Finding the Fourth Proportional to 20,507.61, 28,284.06 and 13,788.66

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Solution

The fourth proportional to 20,507.61, 28,284.06 and 13,788.66 is: 19,017.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,507.61 : 28,284.06 = 13,788.66 : x
  2. Step 2: Convert to fraction form
    20,507.61/28,284.06 = 13,788.66/x
  3. Step 3: Cross multiply
    20,507.61x = 28,284.06 × 13,788.66
  4. Step 4: Simplify right side
    20,507.61x = 389,999,286.76
  5. Step 5: Solve for x
    x = 389,999,286.76/20,507.61
  6. Step 6: Final answer
    x = 19,017.30

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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.