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Finding the Fourth Proportional to 13,968.75, 19,277.16 and 7,681.14

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Solution

The fourth proportional to 13,968.75, 19,277.16 and 7,681.14 is: 10,600.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,968.75 : 19,277.16 = 7,681.14 : x
  2. Step 2: Convert to fraction form
    13,968.75/19,277.16 = 7,681.14/x
  3. Step 3: Cross multiply
    13,968.75x = 19,277.16 × 7,681.14
  4. Step 4: Simplify right side
    13,968.75x = 148,070,564.76
  5. Step 5: Solve for x
    x = 148,070,564.76/13,968.75
  6. Step 6: Final answer
    x = 10,600.13

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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.