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Finding the Fourth Proportional to 17,184, 23,710.08 and 10,110.72

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Solution

The fourth proportional to 17,184, 23,710.08 and 10,110.72 is: 13,950.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,184 : 23,710.08 = 10,110.72 : x
  2. Step 2: Convert to fraction form
    17,184/23,710.08 = 10,110.72/x
  3. Step 3: Cross multiply
    17,184x = 23,710.08 × 10,110.72
  4. Step 4: Simplify right side
    17,184x = 239,725,980.06
  5. Step 5: Solve for x
    x = 239,725,980.06/17,184
  6. Step 6: Final answer
    x = 13,950.53

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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.