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Finding the Fourth Proportional to 14,354.68, 19,808.82 and 7,981.60

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Solution

The fourth proportional to 14,354.68, 19,808.82 and 7,981.60 is: 11,014.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,354.68 : 19,808.82 = 7,981.60 : x
  2. Step 2: Convert to fraction form
    14,354.68/19,808.82 = 7,981.60/x
  3. Step 3: Cross multiply
    14,354.68x = 19,808.82 × 7,981.60
  4. Step 4: Simplify right side
    14,354.68x = 158,106,077.71
  5. Step 5: Solve for x
    x = 158,106,077.71/14,354.68
  6. Step 6: Final answer
    x = 11,014.25

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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.