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Finding the Fourth Proportional to 13,810.98, 19,061.64 and 8,145.39

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Solution

The fourth proportional to 13,810.98, 19,061.64 and 8,145.39 is: 11,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.98 : 19,061.64 = 8,145.39 : x
  2. Step 2: Convert to fraction form
    13,810.98/19,061.64 = 8,145.39/x
  3. Step 3: Cross multiply
    13,810.98x = 19,061.64 × 8,145.39
  4. Step 4: Simplify right side
    13,810.98x = 155,264,491.84
  5. Step 5: Solve for x
    x = 155,264,491.84/13,810.98
  6. Step 6: Final answer
    x = 11,242.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.