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Finding the Fourth Proportional to 14,538.16, 21,813.72 and 5,302

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Solution

The fourth proportional to 14,538.16, 21,813.72 and 5,302 is: 7,955.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,538.16 : 21,813.72 = 5,302 : x
  2. Step 2: Convert to fraction form
    14,538.16/21,813.72 = 5,302/x
  3. Step 3: Cross multiply
    14,538.16x = 21,813.72 × 5,302
  4. Step 4: Simplify right side
    14,538.16x = 115,656,343.44
  5. Step 5: Solve for x
    x = 115,656,343.44/14,538.16
  6. Step 6: Final answer
    x = 7,955.36

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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.