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Finding the Fourth Proportional to 17,853.84, 24,639.18 and 10,780.14

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Solution

The fourth proportional to 17,853.84, 24,639.18 and 10,780.14 is: 14,877.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853.84 : 24,639.18 = 10,780.14 : x
  2. Step 2: Convert to fraction form
    17,853.84/24,639.18 = 10,780.14/x
  3. Step 3: Cross multiply
    17,853.84x = 24,639.18 × 10,780.14
  4. Step 4: Simplify right side
    17,853.84x = 265,613,809.89
  5. Step 5: Solve for x
    x = 265,613,809.89/17,853.84
  6. Step 6: Final answer
    x = 14,877.13

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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.