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Finding the Fourth Proportional to 15,646.29, 23,465.32 and 5,788.39

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Solution

The fourth proportional to 15,646.29, 23,465.32 and 5,788.39 is: 8,681.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,646.29 : 23,465.32 = 5,788.39 : x
  2. Step 2: Convert to fraction form
    15,646.29/23,465.32 = 5,788.39/x
  3. Step 3: Cross multiply
    15,646.29x = 23,465.32 × 5,788.39
  4. Step 4: Simplify right side
    15,646.29x = 135,826,423.63
  5. Step 5: Solve for x
    x = 135,826,423.63/15,646.29
  6. Step 6: Final answer
    x = 8,681.06

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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.