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Finding the Fourth Proportional to 14,356.79, 19,811.13 and 8,306.02

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Solution

The fourth proportional to 14,356.79, 19,811.13 and 8,306.02 is: 11,461.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,356.79 : 19,811.13 = 8,306.02 : x
  2. Step 2: Convert to fraction form
    14,356.79/19,811.13 = 8,306.02/x
  3. Step 3: Cross multiply
    14,356.79x = 19,811.13 × 8,306.02
  4. Step 4: Simplify right side
    14,356.79x = 164,551,642.00
  5. Step 5: Solve for x
    x = 164,551,642.00/14,356.79
  6. Step 6: Final answer
    x = 11,461.59

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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.