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Finding the Fourth Proportional to 26,465.60, 39,702.04 and 9,824.22

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Solution

The fourth proportional to 26,465.60, 39,702.04 and 9,824.22 is: 14,737.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,465.60 : 39,702.04 = 9,824.22 : x
  2. Step 2: Convert to fraction form
    26,465.60/39,702.04 = 9,824.22/x
  3. Step 3: Cross multiply
    26,465.60x = 39,702.04 × 9,824.22
  4. Step 4: Simplify right side
    26,465.60x = 390,041,575.41
  5. Step 5: Solve for x
    x = 390,041,575.41/26,465.60
  6. Step 6: Final answer
    x = 14,737.68

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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.