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Finding the Fourth Proportional to 14,437.98, 21,643.98 and 5,201.82

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Solution

The fourth proportional to 14,437.98, 21,643.98 and 5,201.82 is: 7,798.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,437.98 : 21,643.98 = 5,201.82 : x
  2. Step 2: Convert to fraction form
    14,437.98/21,643.98 = 5,201.82/x
  3. Step 3: Cross multiply
    14,437.98x = 21,643.98 × 5,201.82
  4. Step 4: Simplify right side
    14,437.98x = 112,588,088.04
  5. Step 5: Solve for x
    x = 112,588,088.04/14,437.98
  6. Step 6: Final answer
    x = 7,798.05

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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.