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Finding the Fourth Proportional to 13,132.86, 19,696.86 and 4,365.42

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Solution

The fourth proportional to 13,132.86, 19,696.86 and 4,365.42 is: 6,547.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,132.86 : 19,696.86 = 4,365.42 : x
  2. Step 2: Convert to fraction form
    13,132.86/19,696.86 = 4,365.42/x
  3. Step 3: Cross multiply
    13,132.86x = 19,696.86 × 4,365.42
  4. Step 4: Simplify right side
    13,132.86x = 85,985,066.58
  5. Step 5: Solve for x
    x = 85,985,066.58/13,132.86
  6. Step 6: Final answer
    x = 6,547.32

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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.