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Finding the Fourth Proportional to 25,652.34, 38,514.29 and 13,182.93

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Solution

The fourth proportional to 25,652.34, 38,514.29 and 13,182.93 is: 19,792.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,652.34 : 38,514.29 = 13,182.93 : x
  2. Step 2: Convert to fraction form
    25,652.34/38,514.29 = 13,182.93/x
  3. Step 3: Cross multiply
    25,652.34x = 38,514.29 × 13,182.93
  4. Step 4: Simplify right side
    25,652.34x = 507,731,123.16
  5. Step 5: Solve for x
    x = 507,731,123.16/25,652.34
  6. Step 6: Final answer
    x = 19,792.78

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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.