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Finding the Fourth Proportional to 23,443.98, 32,343.66 and 14,476.07

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Solution

The fourth proportional to 23,443.98, 32,343.66 and 14,476.07 is: 19,971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,443.98 : 32,343.66 = 14,476.07 : x
  2. Step 2: Convert to fraction form
    23,443.98/32,343.66 = 14,476.07/x
  3. Step 3: Cross multiply
    23,443.98x = 32,343.66 × 14,476.07
  4. Step 4: Simplify right side
    23,443.98x = 468,208,924.50
  5. Step 5: Solve for x
    x = 468,208,924.50/23,443.98
  6. Step 6: Final answer
    x = 19,971.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.