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Finding the Fourth Proportional to 13,985.40, 20,978.10 and 9,830.10

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Solution

The fourth proportional to 13,985.40, 20,978.10 and 9,830.10 is: 14,745.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.40 : 20,978.10 = 9,830.10 : x
  2. Step 2: Convert to fraction form
    13,985.40/20,978.10 = 9,830.10/x
  3. Step 3: Cross multiply
    13,985.40x = 20,978.10 × 9,830.10
  4. Step 4: Simplify right side
    13,985.40x = 206,216,820.81
  5. Step 5: Solve for x
    x = 206,216,820.81/13,985.40
  6. Step 6: Final answer
    x = 14,745.15

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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.