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Finding the Fourth Proportional to 22,056.16, 33,088.74 and 12,820

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Solution

The fourth proportional to 22,056.16, 33,088.74 and 12,820 is: 19,232.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,056.16 : 33,088.74 = 12,820 : x
  2. Step 2: Convert to fraction form
    22,056.16/33,088.74 = 12,820/x
  3. Step 3: Cross multiply
    22,056.16x = 33,088.74 × 12,820
  4. Step 4: Simplify right side
    22,056.16x = 424,197,646.80
  5. Step 5: Solve for x
    x = 424,197,646.80/22,056.16
  6. Step 6: Final answer
    x = 19,232.62

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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.