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Finding the Fourth Proportional to 23,005.84, 34,492.56 and 8,955.04

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Solution

The fourth proportional to 23,005.84, 34,492.56 and 8,955.04 is: 13,426.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,005.84 : 34,492.56 = 8,955.04 : x
  2. Step 2: Convert to fraction form
    23,005.84/34,492.56 = 8,955.04/x
  3. Step 3: Cross multiply
    23,005.84x = 34,492.56 × 8,955.04
  4. Step 4: Simplify right side
    23,005.84x = 308,882,254.50
  5. Step 5: Solve for x
    x = 308,882,254.50/23,005.84
  6. Step 6: Final answer
    x = 13,426.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.