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Finding the Fourth Proportional to 14,258.84, 19,677.02 and 7,885.86

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Solution

The fourth proportional to 14,258.84, 19,677.02 and 7,885.86 is: 10,882.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258.84 : 19,677.02 = 7,885.86 : x
  2. Step 2: Convert to fraction form
    14,258.84/19,677.02 = 7,885.86/x
  3. Step 3: Cross multiply
    14,258.84x = 19,677.02 × 7,885.86
  4. Step 4: Simplify right side
    14,258.84x = 155,170,224.94
  5. Step 5: Solve for x
    x = 155,170,224.94/14,258.84
  6. Step 6: Final answer
    x = 10,882.39

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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.