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Finding the Fourth Proportional to 13,818.41, 19,068.34 and 7,768.32

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Solution

The fourth proportional to 13,818.41, 19,068.34 and 7,768.32 is: 10,719.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818.41 : 19,068.34 = 7,768.32 : x
  2. Step 2: Convert to fraction form
    13,818.41/19,068.34 = 7,768.32/x
  3. Step 3: Cross multiply
    13,818.41x = 19,068.34 × 7,768.32
  4. Step 4: Simplify right side
    13,818.41x = 148,128,966.99
  5. Step 5: Solve for x
    x = 148,128,966.99/13,818.41
  6. Step 6: Final answer
    x = 10,719.68

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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.