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Finding the Fourth Proportional to 14,434.13, 19,919.15 and 7,810.13

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Solution

The fourth proportional to 14,434.13, 19,919.15 and 7,810.13 is: 10,778.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,434.13 : 19,919.15 = 7,810.13 : x
  2. Step 2: Convert to fraction form
    14,434.13/19,919.15 = 7,810.13/x
  3. Step 3: Cross multiply
    14,434.13x = 19,919.15 × 7,810.13
  4. Step 4: Simplify right side
    14,434.13x = 155,571,070.92
  5. Step 5: Solve for x
    x = 155,571,070.92/14,434.13
  6. Step 6: Final answer
    x = 10,778.00

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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.