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Finding the Fourth Proportional to 14,038.40, 21,058.09 and 4,550.50

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Solution

The fourth proportional to 14,038.40, 21,058.09 and 4,550.50 is: 6,825.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,038.40 : 21,058.09 = 4,550.50 : x
  2. Step 2: Convert to fraction form
    14,038.40/21,058.09 = 4,550.50/x
  3. Step 3: Cross multiply
    14,038.40x = 21,058.09 × 4,550.50
  4. Step 4: Simplify right side
    14,038.40x = 95,824,774.52
  5. Step 5: Solve for x
    x = 95,824,774.52/14,038.40
  6. Step 6: Final answer
    x = 6,825.91

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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.