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Finding the Fourth Proportional to 25,152, 34,710.84 and 13,974

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Solution

The fourth proportional to 25,152, 34,710.84 and 13,974 is: 19,284.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,152 : 34,710.84 = 13,974 : x
  2. Step 2: Convert to fraction form
    25,152/34,710.84 = 13,974/x
  3. Step 3: Cross multiply
    25,152x = 34,710.84 × 13,974
  4. Step 4: Simplify right side
    25,152x = 485,049,278.16
  5. Step 5: Solve for x
    x = 485,049,278.16/25,152
  6. Step 6: Final answer
    x = 19,284.72

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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.