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Finding the Fourth Proportional to 17,888.63, 24,682.64 and 9,929.16

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Solution

The fourth proportional to 17,888.63, 24,682.64 and 9,929.16 is: 13,700.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,888.63 : 24,682.64 = 9,929.16 : x
  2. Step 2: Convert to fraction form
    17,888.63/24,682.64 = 9,929.16/x
  3. Step 3: Cross multiply
    17,888.63x = 24,682.64 × 9,929.16
  4. Step 4: Simplify right side
    17,888.63x = 245,077,832.14
  5. Step 5: Solve for x
    x = 245,077,832.14/17,888.63
  6. Step 6: Final answer
    x = 13,700.21

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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.