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Finding the Fourth Proportional to 24,478.05, 36,718.47 and 6,946.50

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Solution

The fourth proportional to 24,478.05, 36,718.47 and 6,946.50 is: 10,420.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,478.05 : 36,718.47 = 6,946.50 : x
  2. Step 2: Convert to fraction form
    24,478.05/36,718.47 = 6,946.50/x
  3. Step 3: Cross multiply
    24,478.05x = 36,718.47 × 6,946.50
  4. Step 4: Simplify right side
    24,478.05x = 255,064,851.86
  5. Step 5: Solve for x
    x = 255,064,851.86/24,478.05
  6. Step 6: Final answer
    x = 10,420.15

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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.