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Finding the Fourth Proportional to 14,080, 21,127.29 and 7,154.50

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Solution

The fourth proportional to 14,080, 21,127.29 and 7,154.50 is: 10,735.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,080 : 21,127.29 = 7,154.50 : x
  2. Step 2: Convert to fraction form
    14,080/21,127.29 = 7,154.50/x
  3. Step 3: Cross multiply
    14,080x = 21,127.29 × 7,154.50
  4. Step 4: Simplify right side
    14,080x = 151,155,196.31
  5. Step 5: Solve for x
    x = 151,155,196.31/14,080
  6. Step 6: Final answer
    x = 10,735.45

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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.