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Finding the Fourth Proportional to 14,681.34, 22,023.09 and 4,293

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Solution

The fourth proportional to 14,681.34, 22,023.09 and 4,293 is: 6,439.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,681.34 : 22,023.09 = 4,293 : x
  2. Step 2: Convert to fraction form
    14,681.34/22,023.09 = 4,293/x
  3. Step 3: Cross multiply
    14,681.34x = 22,023.09 × 4,293
  4. Step 4: Simplify right side
    14,681.34x = 94,545,125.37
  5. Step 5: Solve for x
    x = 94,545,125.37/14,681.34
  6. Step 6: Final answer
    x = 6,439.82

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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.