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Finding the Fourth Proportional to 15,239.64, 22,897.80 and 9,695.46

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Solution

The fourth proportional to 15,239.64, 22,897.80 and 9,695.46 is: 14,567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,239.64 : 22,897.80 = 9,695.46 : x
  2. Step 2: Convert to fraction form
    15,239.64/22,897.80 = 9,695.46/x
  3. Step 3: Cross multiply
    15,239.64x = 22,897.80 × 9,695.46
  4. Step 4: Simplify right side
    15,239.64x = 222,004,703.99
  5. Step 5: Solve for x
    x = 222,004,703.99/15,239.64
  6. Step 6: Final answer
    x = 14,567.58

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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.