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Finding the Fourth Proportional to 14,125, 19,423.38 and 12,258.76

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Solution

The fourth proportional to 14,125, 19,423.38 and 12,258.76 is: 16,857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,125 : 19,423.38 = 12,258.76 : x
  2. Step 2: Convert to fraction form
    14,125/19,423.38 = 12,258.76/x
  3. Step 3: Cross multiply
    14,125x = 19,423.38 × 12,258.76
  4. Step 4: Simplify right side
    14,125x = 238,106,553.81
  5. Step 5: Solve for x
    x = 238,106,553.81/14,125
  6. Step 6: Final answer
    x = 16,857.10

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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.