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Finding the Fourth Proportional to 21,570.88, 32,368.72 and 11,711

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Solution

The fourth proportional to 21,570.88, 32,368.72 and 11,711 is: 17,573.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,570.88 : 32,368.72 = 11,711 : x
  2. Step 2: Convert to fraction form
    21,570.88/32,368.72 = 11,711/x
  3. Step 3: Cross multiply
    21,570.88x = 32,368.72 × 11,711
  4. Step 4: Simplify right side
    21,570.88x = 379,070,079.92
  5. Step 5: Solve for x
    x = 379,070,079.92/21,570.88
  6. Step 6: Final answer
    x = 17,573.23

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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.