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Finding the Fourth Proportional to 19,714.76, 29,572.14 and 11,501

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Solution

The fourth proportional to 19,714.76, 29,572.14 and 11,501 is: 17,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714.76 : 29,572.14 = 11,501 : x
  2. Step 2: Convert to fraction form
    19,714.76/29,572.14 = 11,501/x
  3. Step 3: Cross multiply
    19,714.76x = 29,572.14 × 11,501
  4. Step 4: Simplify right side
    19,714.76x = 340,109,182.14
  5. Step 5: Solve for x
    x = 340,109,182.14/19,714.76
  6. Step 6: Final answer
    x = 17,251.50

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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.