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Finding the Fourth Proportional to 13,071.39, 18,038.19 and 7,102.90

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Solution

The fourth proportional to 13,071.39, 18,038.19 and 7,102.90 is: 9,801.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071.39 : 18,038.19 = 7,102.90 : x
  2. Step 2: Convert to fraction form
    13,071.39/18,038.19 = 7,102.90/x
  3. Step 3: Cross multiply
    13,071.39x = 18,038.19 × 7,102.90
  4. Step 4: Simplify right side
    13,071.39x = 128,123,459.75
  5. Step 5: Solve for x
    x = 128,123,459.75/13,071.39
  6. Step 6: Final answer
    x = 9,801.82

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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.