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Finding the Fourth Proportional to 13,018.96, 19,534 and 4,256.56

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Solution

The fourth proportional to 13,018.96, 19,534 and 4,256.56 is: 6,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,018.96 : 19,534 = 4,256.56 : x
  2. Step 2: Convert to fraction form
    13,018.96/19,534 = 4,256.56/x
  3. Step 3: Cross multiply
    13,018.96x = 19,534 × 4,256.56
  4. Step 4: Simplify right side
    13,018.96x = 83,147,643.04
  5. Step 5: Solve for x
    x = 83,147,643.04/13,018.96
  6. Step 6: Final answer
    x = 6,386.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.