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Finding the Fourth Proportional to 14,301, 21,463.02 and 7,377.48

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Solution

The fourth proportional to 14,301, 21,463.02 and 7,377.48 is: 11,072.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,301 : 21,463.02 = 7,377.48 : x
  2. Step 2: Convert to fraction form
    14,301/21,463.02 = 7,377.48/x
  3. Step 3: Cross multiply
    14,301x = 21,463.02 × 7,377.48
  4. Step 4: Simplify right side
    14,301x = 158,343,000.79
  5. Step 5: Solve for x
    x = 158,343,000.79/14,301
  6. Step 6: Final answer
    x = 11,072.16

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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.