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Finding the Fourth Proportional to 19,582, 27,023.35 and 10,629.58

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Solution

The fourth proportional to 19,582, 27,023.35 and 10,629.58 is: 14,668.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,582 : 27,023.35 = 10,629.58 : x
  2. Step 2: Convert to fraction form
    19,582/27,023.35 = 10,629.58/x
  3. Step 3: Cross multiply
    19,582x = 27,023.35 × 10,629.58
  4. Step 4: Simplify right side
    19,582x = 287,246,860.69
  5. Step 5: Solve for x
    x = 287,246,860.69/19,582
  6. Step 6: Final answer
    x = 14,668.92

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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.