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Finding the Fourth Proportional to 23,070.31, 34,583.59 and 7,477

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Solution

The fourth proportional to 23,070.31, 34,583.59 and 7,477 is: 11,208.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,070.31 : 34,583.59 = 7,477 : x
  2. Step 2: Convert to fraction form
    23,070.31/34,583.59 = 7,477/x
  3. Step 3: Cross multiply
    23,070.31x = 34,583.59 × 7,477
  4. Step 4: Simplify right side
    23,070.31x = 258,581,502.43
  5. Step 5: Solve for x
    x = 258,581,502.43/23,070.31
  6. Step 6: Final answer
    x = 11,208.41

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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.