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Finding the Fourth Proportional to 14,678.07, 22,017.03 and 4,149.01

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Solution

The fourth proportional to 14,678.07, 22,017.03 and 4,149.01 is: 6,223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678.07 : 22,017.03 = 4,149.01 : x
  2. Step 2: Convert to fraction form
    14,678.07/22,017.03 = 4,149.01/x
  3. Step 3: Cross multiply
    14,678.07x = 22,017.03 × 4,149.01
  4. Step 4: Simplify right side
    14,678.07x = 91,348,877.64
  5. Step 5: Solve for x
    x = 91,348,877.64/14,678.07
  6. Step 6: Final answer
    x = 6,223.49

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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.