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Finding the Fourth Proportional to 23,769, 35,655.42 and 7,353

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Solution

The fourth proportional to 23,769, 35,655.42 and 7,353 is: 11,030.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,769 : 35,655.42 = 7,353 : x
  2. Step 2: Convert to fraction form
    23,769/35,655.42 = 7,353/x
  3. Step 3: Cross multiply
    23,769x = 35,655.42 × 7,353
  4. Step 4: Simplify right side
    23,769x = 262,174,303.26
  5. Step 5: Solve for x
    x = 262,174,303.26/23,769
  6. Step 6: Final answer
    x = 11,030.09

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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.