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Finding the Fourth Proportional to 14,681.25, 22,021.88 and 4,293

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Solution

The fourth proportional to 14,681.25, 22,021.88 and 4,293 is: 6,439.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,681.25 : 22,021.88 = 4,293 : x
  2. Step 2: Convert to fraction form
    14,681.25/22,021.88 = 4,293/x
  3. Step 3: Cross multiply
    14,681.25x = 22,021.88 × 4,293
  4. Step 4: Simplify right side
    14,681.25x = 94,539,909.38
  5. Step 5: Solve for x
    x = 94,539,909.38/14,681.25
  6. Step 6: Final answer
    x = 6,439.50

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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.