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Finding the Fourth Proportional to 14,240.99, 21,364.51 and 4,878.50

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Solution

The fourth proportional to 14,240.99, 21,364.51 and 4,878.50 is: 7,318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,240.99 : 21,364.51 = 4,878.50 : x
  2. Step 2: Convert to fraction form
    14,240.99/21,364.51 = 4,878.50/x
  3. Step 3: Cross multiply
    14,240.99x = 21,364.51 × 4,878.50
  4. Step 4: Simplify right side
    14,240.99x = 104,226,655.21
  5. Step 5: Solve for x
    x = 104,226,655.21/14,240.99
  6. Step 6: Final answer
    x = 7,318.78

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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.