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Finding the Fourth Proportional to 14,922.84, 20,588.16 and 8,547.75

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Solution

The fourth proportional to 14,922.84, 20,588.16 and 8,547.75 is: 11,792.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,922.84 : 20,588.16 = 8,547.75 : x
  2. Step 2: Convert to fraction form
    14,922.84/20,588.16 = 8,547.75/x
  3. Step 3: Cross multiply
    14,922.84x = 20,588.16 × 8,547.75
  4. Step 4: Simplify right side
    14,922.84x = 175,982,444.64
  5. Step 5: Solve for x
    x = 175,982,444.64/14,922.84
  6. Step 6: Final answer
    x = 11,792.83

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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.