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Finding the Fourth Proportional to 21,412.32, 32,076.90 and 15,779.76

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Solution

The fourth proportional to 21,412.32, 32,076.90 and 15,779.76 is: 23,639.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,412.32 : 32,076.90 = 15,779.76 : x
  2. Step 2: Convert to fraction form
    21,412.32/32,076.90 = 15,779.76/x
  3. Step 3: Cross multiply
    21,412.32x = 32,076.90 × 15,779.76
  4. Step 4: Simplify right side
    21,412.32x = 506,165,783.54
  5. Step 5: Solve for x
    x = 506,165,783.54/21,412.32
  6. Step 6: Final answer
    x = 23,639.00

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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.