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Finding the Fourth Proportional to 21,445.74, 32,143.74 and 12,688.02

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Solution

The fourth proportional to 21,445.74, 32,143.74 and 12,688.02 is: 19,017.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,445.74 : 32,143.74 = 12,688.02 : x
  2. Step 2: Convert to fraction form
    21,445.74/32,143.74 = 12,688.02/x
  3. Step 3: Cross multiply
    21,445.74x = 32,143.74 × 12,688.02
  4. Step 4: Simplify right side
    21,445.74x = 407,840,415.99
  5. Step 5: Solve for x
    x = 407,840,415.99/21,445.74
  6. Step 6: Final answer
    x = 19,017.32

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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.