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Finding the Fourth Proportional to 13,114.68, 19,669.26 and 4,798.62

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Solution

The fourth proportional to 13,114.68, 19,669.26 and 4,798.62 is: 7,196.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.68 : 19,669.26 = 4,798.62 : x
  2. Step 2: Convert to fraction form
    13,114.68/19,669.26 = 4,798.62/x
  3. Step 3: Cross multiply
    13,114.68x = 19,669.26 × 4,798.62
  4. Step 4: Simplify right side
    13,114.68x = 94,385,304.42
  5. Step 5: Solve for x
    x = 94,385,304.42/13,114.68
  6. Step 6: Final answer
    x = 7,196.92

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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.