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Finding the Fourth Proportional to 21,509.32, 29,682.84 and 12,077.92

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Solution

The fourth proportional to 21,509.32, 29,682.84 and 12,077.92 is: 16,667.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.32 : 29,682.84 = 12,077.92 : x
  2. Step 2: Convert to fraction form
    21,509.32/29,682.84 = 12,077.92/x
  3. Step 3: Cross multiply
    21,509.32x = 29,682.84 × 12,077.92
  4. Step 4: Simplify right side
    21,509.32x = 358,506,966.89
  5. Step 5: Solve for x
    x = 358,506,966.89/21,509.32
  6. Step 6: Final answer
    x = 16,667.52

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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.