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Finding the Fourth Proportional to 15,875.48, 21,903.05 and 9,157.14

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Solution

The fourth proportional to 15,875.48, 21,903.05 and 9,157.14 is: 12,633.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,875.48 : 21,903.05 = 9,157.14 : x
  2. Step 2: Convert to fraction form
    15,875.48/21,903.05 = 9,157.14/x
  3. Step 3: Cross multiply
    15,875.48x = 21,903.05 × 9,157.14
  4. Step 4: Simplify right side
    15,875.48x = 200,569,249.49
  5. Step 5: Solve for x
    x = 200,569,249.49/15,875.48
  6. Step 6: Final answer
    x = 12,633.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.