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Finding the Fourth Proportional to 19,894.61, 29,838.24 and 8,047.76

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Solution

The fourth proportional to 19,894.61, 29,838.24 and 8,047.76 is: 12,070.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,894.61 : 29,838.24 = 8,047.76 : x
  2. Step 2: Convert to fraction form
    19,894.61/29,838.24 = 8,047.76/x
  3. Step 3: Cross multiply
    19,894.61x = 29,838.24 × 8,047.76
  4. Step 4: Simplify right side
    19,894.61x = 240,130,845.15
  5. Step 5: Solve for x
    x = 240,130,845.15/19,894.61
  6. Step 6: Final answer
    x = 12,070.14

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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.