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Finding the Fourth Proportional to 20,842.13, 28,762.16 and 11,410.70

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Solution

The fourth proportional to 20,842.13, 28,762.16 and 11,410.70 is: 15,746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842.13 : 28,762.16 = 11,410.70 : x
  2. Step 2: Convert to fraction form
    20,842.13/28,762.16 = 11,410.70/x
  3. Step 3: Cross multiply
    20,842.13x = 28,762.16 × 11,410.70
  4. Step 4: Simplify right side
    20,842.13x = 328,196,178.25
  5. Step 5: Solve for x
    x = 328,196,178.25/20,842.13
  6. Step 6: Final answer
    x = 15,746.77

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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.