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Finding the Fourth Proportional to 15,897.68, 23,830.32 and 7,130.24

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Solution

The fourth proportional to 15,897.68, 23,830.32 and 7,130.24 is: 10,688.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.68 : 23,830.32 = 7,130.24 : x
  2. Step 2: Convert to fraction form
    15,897.68/23,830.32 = 7,130.24/x
  3. Step 3: Cross multiply
    15,897.68x = 23,830.32 × 7,130.24
  4. Step 4: Simplify right side
    15,897.68x = 169,915,900.88
  5. Step 5: Solve for x
    x = 169,915,900.88/15,897.68
  6. Step 6: Final answer
    x = 10,688.09

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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.