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Finding the Fourth Proportional to 12,965.95, 19,452.38 and 4,646.81

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Solution

The fourth proportional to 12,965.95, 19,452.38 and 4,646.81 is: 6,971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.95 : 19,452.38 = 4,646.81 : x
  2. Step 2: Convert to fraction form
    12,965.95/19,452.38 = 4,646.81/x
  3. Step 3: Cross multiply
    12,965.95x = 19,452.38 × 4,646.81
  4. Step 4: Simplify right side
    12,965.95x = 90,391,428.26
  5. Step 5: Solve for x
    x = 90,391,428.26/12,965.95
  6. Step 6: Final answer
    x = 6,971.45

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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.