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Finding the Fourth Proportional to 26,457.05, 39,681 and 7,483.01

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Solution

The fourth proportional to 26,457.05, 39,681 and 7,483.01 is: 11,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,457.05 : 39,681 = 7,483.01 : x
  2. Step 2: Convert to fraction form
    26,457.05/39,681 = 7,483.01/x
  3. Step 3: Cross multiply
    26,457.05x = 39,681 × 7,483.01
  4. Step 4: Simplify right side
    26,457.05x = 296,933,121.41
  5. Step 5: Solve for x
    x = 296,933,121.41/26,457.05
  6. Step 6: Final answer
    x = 11,223.22

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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.