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Finding the Fourth Proportional to 14,603.10, 21,904.65 and 4,742.70

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Solution

The fourth proportional to 14,603.10, 21,904.65 and 4,742.70 is: 7,114.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,603.10 : 21,904.65 = 4,742.70 : x
  2. Step 2: Convert to fraction form
    14,603.10/21,904.65 = 4,742.70/x
  3. Step 3: Cross multiply
    14,603.10x = 21,904.65 × 4,742.70
  4. Step 4: Simplify right side
    14,603.10x = 103,887,183.56
  5. Step 5: Solve for x
    x = 103,887,183.56/14,603.10
  6. Step 6: Final answer
    x = 7,114.05

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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.