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Finding the Fourth Proportional to 24,688.40, 37,035 and 7,157.84

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Solution

The fourth proportional to 24,688.40, 37,035 and 7,157.84 is: 10,737.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,688.40 : 37,035 = 7,157.84 : x
  2. Step 2: Convert to fraction form
    24,688.40/37,035 = 7,157.84/x
  3. Step 3: Cross multiply
    24,688.40x = 37,035 × 7,157.84
  4. Step 4: Simplify right side
    24,688.40x = 265,090,604.40
  5. Step 5: Solve for x
    x = 265,090,604.40/24,688.40
  6. Step 6: Final answer
    x = 10,737.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.