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Finding the Fourth Proportional to 13,077.88, 18,046.72 and 7,109.50

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Solution

The fourth proportional to 13,077.88, 18,046.72 and 7,109.50 is: 9,810.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.88 : 18,046.72 = 7,109.50 : x
  2. Step 2: Convert to fraction form
    13,077.88/18,046.72 = 7,109.50/x
  3. Step 3: Cross multiply
    13,077.88x = 18,046.72 × 7,109.50
  4. Step 4: Simplify right side
    13,077.88x = 128,303,155.84
  5. Step 5: Solve for x
    x = 128,303,155.84/13,077.88
  6. Step 6: Final answer
    x = 9,810.70

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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.