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Finding the Fourth Proportional to 17,821.71, 26,703.36 and 9,492.93

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Solution

The fourth proportional to 17,821.71, 26,703.36 and 9,492.93 is: 14,223.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,821.71 : 26,703.36 = 9,492.93 : x
  2. Step 2: Convert to fraction form
    17,821.71/26,703.36 = 9,492.93/x
  3. Step 3: Cross multiply
    17,821.71x = 26,703.36 × 9,492.93
  4. Step 4: Simplify right side
    17,821.71x = 253,493,127.24
  5. Step 5: Solve for x
    x = 253,493,127.24/17,821.71
  6. Step 6: Final answer
    x = 14,223.84

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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.