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Finding the Fourth Proportional to 12,384.16, 17,089.01 and 7,347.51

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Solution

The fourth proportional to 12,384.16, 17,089.01 and 7,347.51 is: 10,138.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.16 : 17,089.01 = 7,347.51 : x
  2. Step 2: Convert to fraction form
    12,384.16/17,089.01 = 7,347.51/x
  3. Step 3: Cross multiply
    12,384.16x = 17,089.01 × 7,347.51
  4. Step 4: Simplify right side
    12,384.16x = 125,561,662.68
  5. Step 5: Solve for x
    x = 125,561,662.68/12,384.16
  6. Step 6: Final answer
    x = 10,138.89

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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.