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Finding the Fourth Proportional to 12,521.74, 17,245.14 and 9,678.64

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Solution

The fourth proportional to 12,521.74, 17,245.14 and 9,678.64 is: 13,329.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,521.74 : 17,245.14 = 9,678.64 : x
  2. Step 2: Convert to fraction form
    12,521.74/17,245.14 = 9,678.64/x
  3. Step 3: Cross multiply
    12,521.74x = 17,245.14 × 9,678.64
  4. Step 4: Simplify right side
    12,521.74x = 166,909,501.81
  5. Step 5: Solve for x
    x = 166,909,501.81/12,521.74
  6. Step 6: Final answer
    x = 13,329.58

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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.