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Finding the Fourth Proportional to 21,017.23, 31,539.50 and 7,869.49

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Solution

The fourth proportional to 21,017.23, 31,539.50 and 7,869.49 is: 11,809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,017.23 : 31,539.50 = 7,869.49 : x
  2. Step 2: Convert to fraction form
    21,017.23/31,539.50 = 7,869.49/x
  3. Step 3: Cross multiply
    21,017.23x = 31,539.50 × 7,869.49
  4. Step 4: Simplify right side
    21,017.23x = 248,199,779.86
  5. Step 5: Solve for x
    x = 248,199,779.86/21,017.23
  6. Step 6: Final answer
    x = 11,809.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.