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Finding the Fourth Proportional to 13,098.66, 19,648.71 and 3,737.95

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Solution

The fourth proportional to 13,098.66, 19,648.71 and 3,737.95 is: 5,607.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.66 : 19,648.71 = 3,737.95 : x
  2. Step 2: Convert to fraction form
    13,098.66/19,648.71 = 3,737.95/x
  3. Step 3: Cross multiply
    13,098.66x = 19,648.71 × 3,737.95
  4. Step 4: Simplify right side
    13,098.66x = 73,445,846.42
  5. Step 5: Solve for x
    x = 73,445,846.42/13,098.66
  6. Step 6: Final answer
    x = 5,607.13

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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.