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Finding the Fourth Proportional to 14,483.90, 21,721.25 and 7,461.74

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Solution

The fourth proportional to 14,483.90, 21,721.25 and 7,461.74 is: 11,190.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,483.90 : 21,721.25 = 7,461.74 : x
  2. Step 2: Convert to fraction form
    14,483.90/21,721.25 = 7,461.74/x
  3. Step 3: Cross multiply
    14,483.90x = 21,721.25 × 7,461.74
  4. Step 4: Simplify right side
    14,483.90x = 162,078,174.06
  5. Step 5: Solve for x
    x = 162,078,174.06/14,483.90
  6. Step 6: Final answer
    x = 11,190.23

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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.