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Finding the Fourth Proportional to 38,852.70, 58,264.76 and 13,886

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Solution

The fourth proportional to 38,852.70, 58,264.76 and 13,886 is: 20,823.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,852.70 : 58,264.76 = 13,886 : x
  2. Step 2: Convert to fraction form
    38,852.70/58,264.76 = 13,886/x
  3. Step 3: Cross multiply
    38,852.70x = 58,264.76 × 13,886
  4. Step 4: Simplify right side
    38,852.70x = 809,064,457.36
  5. Step 5: Solve for x
    x = 809,064,457.36/38,852.70
  6. Step 6: Final answer
    x = 20,823.89

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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.