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Finding the Fourth Proportional to 28,102.06, 38,779.32 and 15,526

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Solution

The fourth proportional to 28,102.06, 38,779.32 and 15,526 is: 21,425.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,102.06 : 38,779.32 = 15,526 : x
  2. Step 2: Convert to fraction form
    28,102.06/38,779.32 = 15,526/x
  3. Step 3: Cross multiply
    28,102.06x = 38,779.32 × 15,526
  4. Step 4: Simplify right side
    28,102.06x = 602,087,722.32
  5. Step 5: Solve for x
    x = 602,087,722.32/28,102.06
  6. Step 6: Final answer
    x = 21,425.04

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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.