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Finding the Fourth Proportional to 14,425.84, 19,897.40 and 9,380.74

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Solution

The fourth proportional to 14,425.84, 19,897.40 and 9,380.74 is: 12,938.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,425.84 : 19,897.40 = 9,380.74 : x
  2. Step 2: Convert to fraction form
    14,425.84/19,897.40 = 9,380.74/x
  3. Step 3: Cross multiply
    14,425.84x = 19,897.40 × 9,380.74
  4. Step 4: Simplify right side
    14,425.84x = 186,652,336.08
  5. Step 5: Solve for x
    x = 186,652,336.08/14,425.84
  6. Step 6: Final answer
    x = 12,938.75

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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.