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Finding the Fourth Proportional to 14,320.56, 21,484.56 and 4,460

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Solution

The fourth proportional to 14,320.56, 21,484.56 and 4,460 is: 6,691.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,320.56 : 21,484.56 = 4,460 : x
  2. Step 2: Convert to fraction form
    14,320.56/21,484.56 = 4,460/x
  3. Step 3: Cross multiply
    14,320.56x = 21,484.56 × 4,460
  4. Step 4: Simplify right side
    14,320.56x = 95,821,137.60
  5. Step 5: Solve for x
    x = 95,821,137.60/14,320.56
  6. Step 6: Final answer
    x = 6,691.16

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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.