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Finding the Fourth Proportional to 21,657.81, 29,878.88 and 14,586.51

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Solution

The fourth proportional to 21,657.81, 29,878.88 and 14,586.51 is: 20,123.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,657.81 : 29,878.88 = 14,586.51 : x
  2. Step 2: Convert to fraction form
    21,657.81/29,878.88 = 14,586.51/x
  3. Step 3: Cross multiply
    21,657.81x = 29,878.88 × 14,586.51
  4. Step 4: Simplify right side
    21,657.81x = 435,828,508.98
  5. Step 5: Solve for x
    x = 435,828,508.98/21,657.81
  6. Step 6: Final answer
    x = 20,123.39

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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.