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Finding the Fourth Proportional to 14,154.59, 19,533.48 and 7,781.51

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Solution

The fourth proportional to 14,154.59, 19,533.48 and 7,781.51 is: 10,738.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,154.59 : 19,533.48 = 7,781.51 : x
  2. Step 2: Convert to fraction form
    14,154.59/19,533.48 = 7,781.51/x
  3. Step 3: Cross multiply
    14,154.59x = 19,533.48 × 7,781.51
  4. Step 4: Simplify right side
    14,154.59x = 151,999,969.95
  5. Step 5: Solve for x
    x = 151,999,969.95/14,154.59
  6. Step 6: Final answer
    x = 10,738.56

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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.