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Finding the Fourth Proportional to 20,707.70, 28,569.34 and 13,541.81

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Solution

The fourth proportional to 20,707.70, 28,569.34 and 13,541.81 is: 18,682.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,707.70 : 28,569.34 = 13,541.81 : x
  2. Step 2: Convert to fraction form
    20,707.70/28,569.34 = 13,541.81/x
  3. Step 3: Cross multiply
    20,707.70x = 28,569.34 × 13,541.81
  4. Step 4: Simplify right side
    20,707.70x = 386,880,574.11
  5. Step 5: Solve for x
    x = 386,880,574.11/20,707.70
  6. Step 6: Final answer
    x = 18,682.93

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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.