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Finding the Fourth Proportional to 14,537.16, 21,812.22 and 5,301

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Solution

The fourth proportional to 14,537.16, 21,812.22 and 5,301 is: 7,953.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537.16 : 21,812.22 = 5,301 : x
  2. Step 2: Convert to fraction form
    14,537.16/21,812.22 = 5,301/x
  3. Step 3: Cross multiply
    14,537.16x = 21,812.22 × 5,301
  4. Step 4: Simplify right side
    14,537.16x = 115,626,578.22
  5. Step 5: Solve for x
    x = 115,626,578.22/14,537.16
  6. Step 6: Final answer
    x = 7,953.86

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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.