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Finding the Fourth Proportional to 15,735.84, 23,607.86 and 5,875.20

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Solution

The fourth proportional to 15,735.84, 23,607.86 and 5,875.20 is: 8,814.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735.84 : 23,607.86 = 5,875.20 : x
  2. Step 2: Convert to fraction form
    15,735.84/23,607.86 = 5,875.20/x
  3. Step 3: Cross multiply
    15,735.84x = 23,607.86 × 5,875.20
  4. Step 4: Simplify right side
    15,735.84x = 138,700,899.07
  5. Step 5: Solve for x
    x = 138,700,899.07/15,735.84
  6. Step 6: Final answer
    x = 8,814.33

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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.