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Finding the Fourth Proportional to 17,762.83, 26,642.32 and 9,434.00

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Solution

The fourth proportional to 17,762.83, 26,642.32 and 9,434.00 is: 14,149.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.83 : 26,642.32 = 9,434.00 : x
  2. Step 2: Convert to fraction form
    17,762.83/26,642.32 = 9,434.00/x
  3. Step 3: Cross multiply
    17,762.83x = 26,642.32 × 9,434.00
  4. Step 4: Simplify right side
    17,762.83x = 251,343,689.90
  5. Step 5: Solve for x
    x = 251,343,689.90/17,762.83
  6. Step 6: Final answer
    x = 14,149.98

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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.