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Finding the Fourth Proportional to 16,006.76, 24,018.76 and 7,798.76

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Solution

The fourth proportional to 16,006.76, 24,018.76 and 7,798.76 is: 11,702.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.76 : 24,018.76 = 7,798.76 : x
  2. Step 2: Convert to fraction form
    16,006.76/24,018.76 = 7,798.76/x
  3. Step 3: Cross multiply
    16,006.76x = 24,018.76 × 7,798.76
  4. Step 4: Simplify right side
    16,006.76x = 187,316,544.74
  5. Step 5: Solve for x
    x = 187,316,544.74/16,006.76
  6. Step 6: Final answer
    x = 11,702.34

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1.5x scale

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.