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Finding the Fourth Proportional to 22,582.16, 33,830.08 and 13,700.20

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Solution

The fourth proportional to 22,582.16, 33,830.08 and 13,700.20 is: 20,524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,582.16 : 33,830.08 = 13,700.20 : x
  2. Step 2: Convert to fraction form
    22,582.16/33,830.08 = 13,700.20/x
  3. Step 3: Cross multiply
    22,582.16x = 33,830.08 × 13,700.20
  4. Step 4: Simplify right side
    22,582.16x = 463,478,862.02
  5. Step 5: Solve for x
    x = 463,478,862.02/22,582.16
  6. Step 6: Final answer
    x = 20,524.12

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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.