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Finding the Fourth Proportional to 19,859.68, 29,795.76 and 8,178.40

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Solution

The fourth proportional to 19,859.68, 29,795.76 and 8,178.40 is: 12,270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,859.68 : 29,795.76 = 8,178.40 : x
  2. Step 2: Convert to fraction form
    19,859.68/29,795.76 = 8,178.40/x
  3. Step 3: Cross multiply
    19,859.68x = 29,795.76 × 8,178.40
  4. Step 4: Simplify right side
    19,859.68x = 243,681,643.58
  5. Step 5: Solve for x
    x = 243,681,643.58/19,859.68
  6. Step 6: Final answer
    x = 12,270.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.