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Finding the Fourth Proportional to 14,567.88, 21,851.84 and 6,242.50

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Solution

The fourth proportional to 14,567.88, 21,851.84 and 6,242.50 is: 9,363.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,567.88 : 21,851.84 = 6,242.50 : x
  2. Step 2: Convert to fraction form
    14,567.88/21,851.84 = 6,242.50/x
  3. Step 3: Cross multiply
    14,567.88x = 21,851.84 × 6,242.50
  4. Step 4: Simplify right side
    14,567.88x = 136,410,111.20
  5. Step 5: Solve for x
    x = 136,410,111.20/14,567.88
  6. Step 6: Final answer
    x = 9,363.76

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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.