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Finding the Fourth Proportional to 13,134, 19,569.66 and 12,127.98

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Solution

The fourth proportional to 13,134, 19,569.66 and 12,127.98 is: 18,070.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,134 : 19,569.66 = 12,127.98 : x
  2. Step 2: Convert to fraction form
    13,134/19,569.66 = 12,127.98/x
  3. Step 3: Cross multiply
    13,134x = 19,569.66 × 12,127.98
  4. Step 4: Simplify right side
    13,134x = 237,340,445.09
  5. Step 5: Solve for x
    x = 237,340,445.09/13,134
  6. Step 6: Final answer
    x = 18,070.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.