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Finding the Fourth Proportional to 24,705.84, 34,085.88 and 14,088

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Solution

The fourth proportional to 24,705.84, 34,085.88 and 14,088 is: 19,436.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,705.84 : 34,085.88 = 14,088 : x
  2. Step 2: Convert to fraction form
    24,705.84/34,085.88 = 14,088/x
  3. Step 3: Cross multiply
    24,705.84x = 34,085.88 × 14,088
  4. Step 4: Simplify right side
    24,705.84x = 480,201,877.44
  5. Step 5: Solve for x
    x = 480,201,877.44/24,705.84
  6. Step 6: Final answer
    x = 19,436.78

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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.