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Finding the Fourth Proportional to 14,102.50, 21,154.10 and 4,742.64

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Solution

The fourth proportional to 14,102.50, 21,154.10 and 4,742.64 is: 7,114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.50 : 21,154.10 = 4,742.64 : x
  2. Step 2: Convert to fraction form
    14,102.50/21,154.10 = 4,742.64/x
  3. Step 3: Cross multiply
    14,102.50x = 21,154.10 × 4,742.64
  4. Step 4: Simplify right side
    14,102.50x = 100,326,280.82
  5. Step 5: Solve for x
    x = 100,326,280.82/14,102.50
  6. Step 6: Final answer
    x = 7,114.08

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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.