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Finding the Fourth Proportional to 14,155.59, 19,534.86 and 7,782.51

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Solution

The fourth proportional to 14,155.59, 19,534.86 and 7,782.51 is: 10,739.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,155.59 : 19,534.86 = 7,782.51 : x
  2. Step 2: Convert to fraction form
    14,155.59/19,534.86 = 7,782.51/x
  3. Step 3: Cross multiply
    14,155.59x = 19,534.86 × 7,782.51
  4. Step 4: Simplify right side
    14,155.59x = 152,030,243.30
  5. Step 5: Solve for x
    x = 152,030,243.30/14,155.59
  6. Step 6: Final answer
    x = 10,739.94

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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.