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Finding the Fourth Proportional to 35,206.65, 52,804.45 and 11,514.00

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Solution

The fourth proportional to 35,206.65, 52,804.45 and 11,514.00 is: 17,269.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,206.65 : 52,804.45 = 11,514.00 : x
  2. Step 2: Convert to fraction form
    35,206.65/52,804.45 = 11,514.00/x
  3. Step 3: Cross multiply
    35,206.65x = 52,804.45 × 11,514.00
  4. Step 4: Simplify right side
    35,206.65x = 607,990,649.71
  5. Step 5: Solve for x
    x = 607,990,649.71/35,206.65
  6. Step 6: Final answer
    x = 17,269.20

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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.