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Finding the Fourth Proportional to 26,505.64, 36,578.66 and 14,569.40

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Solution

The fourth proportional to 26,505.64, 36,578.66 and 14,569.40 is: 20,106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,505.64 : 36,578.66 = 14,569.40 : x
  2. Step 2: Convert to fraction form
    26,505.64/36,578.66 = 14,569.40/x
  3. Step 3: Cross multiply
    26,505.64x = 36,578.66 × 14,569.40
  4. Step 4: Simplify right side
    26,505.64x = 532,929,129.00
  5. Step 5: Solve for x
    x = 532,929,129.00/26,505.64
  6. Step 6: Final answer
    x = 20,106.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.