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Finding the Fourth Proportional to 20,603.17, 28,429 and 13,538.35

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Solution

The fourth proportional to 20,603.17, 28,429 and 13,538.35 is: 18,680.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,603.17 : 28,429 = 13,538.35 : x
  2. Step 2: Convert to fraction form
    20,603.17/28,429 = 13,538.35/x
  3. Step 3: Cross multiply
    20,603.17x = 28,429 × 13,538.35
  4. Step 4: Simplify right side
    20,603.17x = 384,881,752.15
  5. Step 5: Solve for x
    x = 384,881,752.15/20,603.17
  6. Step 6: Final answer
    x = 18,680.71

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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.