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Finding the Fourth Proportional to 13,021.77, 17,968.75 and 7,278.16

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Solution

The fourth proportional to 13,021.77, 17,968.75 and 7,278.16 is: 10,043.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.77 : 17,968.75 = 7,278.16 : x
  2. Step 2: Convert to fraction form
    13,021.77/17,968.75 = 7,278.16/x
  3. Step 3: Cross multiply
    13,021.77x = 17,968.75 × 7,278.16
  4. Step 4: Simplify right side
    13,021.77x = 130,779,437.50
  5. Step 5: Solve for x
    x = 130,779,437.50/13,021.77
  6. Step 6: Final answer
    x = 10,043.14

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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.