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Finding the Fourth Proportional to 25,076, 34,605.06 and 13,898

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Solution

The fourth proportional to 25,076, 34,605.06 and 13,898 is: 19,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,076 : 34,605.06 = 13,898 : x
  2. Step 2: Convert to fraction form
    25,076/34,605.06 = 13,898/x
  3. Step 3: Cross multiply
    25,076x = 34,605.06 × 13,898
  4. Step 4: Simplify right side
    25,076x = 480,941,123.88
  5. Step 5: Solve for x
    x = 480,941,123.88/25,076
  6. Step 6: Final answer
    x = 19,179.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.