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Finding the Fourth Proportional to 19,534.64, 26,957.80 and 10,582.20

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Solution

The fourth proportional to 19,534.64, 26,957.80 and 10,582.20 is: 14,603.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,534.64 : 26,957.80 = 10,582.20 : x
  2. Step 2: Convert to fraction form
    19,534.64/26,957.80 = 10,582.20/x
  3. Step 3: Cross multiply
    19,534.64x = 26,957.80 × 10,582.20
  4. Step 4: Simplify right side
    19,534.64x = 285,272,831.16
  5. Step 5: Solve for x
    x = 285,272,831.16/19,534.64
  6. Step 6: Final answer
    x = 14,603.43

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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.