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Finding the Fourth Proportional to 13,707.21, 20,440.46 and 13,582.47

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Solution

The fourth proportional to 13,707.21, 20,440.46 and 13,582.47 is: 20,254.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.21 : 20,440.46 = 13,582.47 : x
  2. Step 2: Convert to fraction form
    13,707.21/20,440.46 = 13,582.47/x
  3. Step 3: Cross multiply
    13,707.21x = 20,440.46 × 13,582.47
  4. Step 4: Simplify right side
    13,707.21x = 277,631,934.74
  5. Step 5: Solve for x
    x = 277,631,934.74/13,707.21
  6. Step 6: Final answer
    x = 20,254.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.