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Finding the Fourth Proportional to 14,411.68, 21,570.54 and 7,821.52

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Solution

The fourth proportional to 14,411.68, 21,570.54 and 7,821.52 is: 11,706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,411.68 : 21,570.54 = 7,821.52 : x
  2. Step 2: Convert to fraction form
    14,411.68/21,570.54 = 7,821.52/x
  3. Step 3: Cross multiply
    14,411.68x = 21,570.54 × 7,821.52
  4. Step 4: Simplify right side
    14,411.68x = 168,714,410.02
  5. Step 5: Solve for x
    x = 168,714,410.02/14,411.68
  6. Step 6: Final answer
    x = 11,706.78

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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.