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Finding the Fourth Proportional to 19,534.64, 26,957.69 and 10,582.31

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Solution

The fourth proportional to 19,534.64, 26,957.69 and 10,582.31 is: 14,603.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,534.64 : 26,957.69 = 10,582.31 : x
  2. Step 2: Convert to fraction form
    19,534.64/26,957.69 = 10,582.31/x
  3. Step 3: Cross multiply
    19,534.64x = 26,957.69 × 10,582.31
  4. Step 4: Simplify right side
    19,534.64x = 285,274,579.55
  5. Step 5: Solve for x
    x = 285,274,579.55/19,534.64
  6. Step 6: Final answer
    x = 14,603.53

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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.