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Finding the Fourth Proportional to 16,894.84, 23,312.84 and 9,340.15

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Solution

The fourth proportional to 16,894.84, 23,312.84 and 9,340.15 is: 12,888.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,894.84 : 23,312.84 = 9,340.15 : x
  2. Step 2: Convert to fraction form
    16,894.84/23,312.84 = 9,340.15/x
  3. Step 3: Cross multiply
    16,894.84x = 23,312.84 × 9,340.15
  4. Step 4: Simplify right side
    16,894.84x = 217,745,440.06
  5. Step 5: Solve for x
    x = 217,745,440.06/16,894.84
  6. Step 6: Final answer
    x = 12,888.28

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1.5x scale

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.