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Finding the Fourth Proportional to 13,498.98, 20,248.74 and 6,102.06

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Solution

The fourth proportional to 13,498.98, 20,248.74 and 6,102.06 is: 9,153.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498.98 : 20,248.74 = 6,102.06 : x
  2. Step 2: Convert to fraction form
    13,498.98/20,248.74 = 6,102.06/x
  3. Step 3: Cross multiply
    13,498.98x = 20,248.74 × 6,102.06
  4. Step 4: Simplify right side
    13,498.98x = 123,559,026.40
  5. Step 5: Solve for x
    x = 123,559,026.40/13,498.98
  6. Step 6: Final answer
    x = 9,153.21

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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.