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Finding the Fourth Proportional to 15,697.47, 23,552.76 and 9,779.31

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Solution

The fourth proportional to 15,697.47, 23,552.76 and 9,779.31 is: 14,673.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.47 : 23,552.76 = 9,779.31 : x
  2. Step 2: Convert to fraction form
    15,697.47/23,552.76 = 9,779.31/x
  3. Step 3: Cross multiply
    15,697.47x = 23,552.76 × 9,779.31
  4. Step 4: Simplify right side
    15,697.47x = 230,329,741.40
  5. Step 5: Solve for x
    x = 230,329,741.40/15,697.47
  6. Step 6: Final answer
    x = 14,673.05

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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.