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Finding the Fourth Proportional to 17,970.94, 26,960 and 5,492.74

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Solution

The fourth proportional to 17,970.94, 26,960 and 5,492.74 is: 8,240.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,970.94 : 26,960 = 5,492.74 : x
  2. Step 2: Convert to fraction form
    17,970.94/26,960 = 5,492.74/x
  3. Step 3: Cross multiply
    17,970.94x = 26,960 × 5,492.74
  4. Step 4: Simplify right side
    17,970.94x = 148,084,270.40
  5. Step 5: Solve for x
    x = 148,084,270.40/17,970.94
  6. Step 6: Final answer
    x = 8,240.21

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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.