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Finding the Fourth Proportional to 13,830.25, 19,085.88 and 7,542.76

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Solution

The fourth proportional to 13,830.25, 19,085.88 and 7,542.76 is: 10,409.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.25 : 19,085.88 = 7,542.76 : x
  2. Step 2: Convert to fraction form
    13,830.25/19,085.88 = 7,542.76/x
  3. Step 3: Cross multiply
    13,830.25x = 19,085.88 × 7,542.76
  4. Step 4: Simplify right side
    13,830.25x = 143,960,212.23
  5. Step 5: Solve for x
    x = 143,960,212.23/13,830.25
  6. Step 6: Final answer
    x = 10,409.08

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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.