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Finding the Fourth Proportional to 17,804.34, 24,570.14 and 9,846.72

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Solution

The fourth proportional to 17,804.34, 24,570.14 and 9,846.72 is: 13,588.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,804.34 : 24,570.14 = 9,846.72 : x
  2. Step 2: Convert to fraction form
    17,804.34/24,570.14 = 9,846.72/x
  3. Step 3: Cross multiply
    17,804.34x = 24,570.14 × 9,846.72
  4. Step 4: Simplify right side
    17,804.34x = 241,935,239.71
  5. Step 5: Solve for x
    x = 241,935,239.71/17,804.34
  6. Step 6: Final answer
    x = 13,588.55

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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.