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Finding the Fourth Proportional to 14,030.32, 19,359.92 and 7,742.68

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Solution

The fourth proportional to 14,030.32, 19,359.92 and 7,742.68 is: 10,683.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,030.32 : 19,359.92 = 7,742.68 : x
  2. Step 2: Convert to fraction form
    14,030.32/19,359.92 = 7,742.68/x
  3. Step 3: Cross multiply
    14,030.32x = 19,359.92 × 7,742.68
  4. Step 4: Simplify right side
    14,030.32x = 149,897,665.39
  5. Step 5: Solve for x
    x = 149,897,665.39/14,030.32
  6. Step 6: Final answer
    x = 10,683.84

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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.