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Finding the Fourth Proportional to 19,780.14, 29,670.21 and 4,989

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Solution

The fourth proportional to 19,780.14, 29,670.21 and 4,989 is: 7,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,780.14 : 29,670.21 = 4,989 : x
  2. Step 2: Convert to fraction form
    19,780.14/29,670.21 = 4,989/x
  3. Step 3: Cross multiply
    19,780.14x = 29,670.21 × 4,989
  4. Step 4: Simplify right side
    19,780.14x = 148,024,677.69
  5. Step 5: Solve for x
    x = 148,024,677.69/19,780.14
  6. Step 6: Final answer
    x = 7,483.50

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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.