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Finding the Fourth Proportional to 14,276.88, 19,701 and 7,988.40

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Solution

The fourth proportional to 14,276.88, 19,701 and 7,988.40 is: 11,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,276.88 : 19,701 = 7,988.40 : x
  2. Step 2: Convert to fraction form
    14,276.88/19,701 = 7,988.40/x
  3. Step 3: Cross multiply
    14,276.88x = 19,701 × 7,988.40
  4. Step 4: Simplify right side
    14,276.88x = 157,379,468.40
  5. Step 5: Solve for x
    x = 157,379,468.40/14,276.88
  6. Step 6: Final answer
    x = 11,023.38

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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.