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Finding the Fourth Proportional to 14,492.51, 21,711.12 and 7,812.44

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Solution

The fourth proportional to 14,492.51, 21,711.12 and 7,812.44 is: 11,703.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,492.51 : 21,711.12 = 7,812.44 : x
  2. Step 2: Convert to fraction form
    14,492.51/21,711.12 = 7,812.44/x
  3. Step 3: Cross multiply
    14,492.51x = 21,711.12 × 7,812.44
  4. Step 4: Simplify right side
    14,492.51x = 169,616,822.33
  5. Step 5: Solve for x
    x = 169,616,822.33/14,492.51
  6. Step 6: Final answer
    x = 11,703.76

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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.