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Finding the Fourth Proportional to 17,670.52, 24,386.81 and 12,017.80

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Solution

The fourth proportional to 17,670.52, 24,386.81 and 12,017.80 is: 16,585.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,670.52 : 24,386.81 = 12,017.80 : x
  2. Step 2: Convert to fraction form
    17,670.52/24,386.81 = 12,017.80/x
  3. Step 3: Cross multiply
    17,670.52x = 24,386.81 × 12,017.80
  4. Step 4: Simplify right side
    17,670.52x = 293,075,805.22
  5. Step 5: Solve for x
    x = 293,075,805.22/17,670.52
  6. Step 6: Final answer
    x = 16,585.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.