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Finding the Fourth Proportional to 23,064, 34,598.16 and 7,477.44

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Solution

The fourth proportional to 23,064, 34,598.16 and 7,477.44 is: 11,216.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,064 : 34,598.16 = 7,477.44 : x
  2. Step 2: Convert to fraction form
    23,064/34,598.16 = 7,477.44/x
  3. Step 3: Cross multiply
    23,064x = 34,598.16 × 7,477.44
  4. Step 4: Simplify right side
    23,064x = 258,705,665.51
  5. Step 5: Solve for x
    x = 258,705,665.51/23,064
  6. Step 6: Final answer
    x = 11,216.86

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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.