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Finding the Fourth Proportional to 35,872.32, 53,784.18 and 12,486

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Solution

The fourth proportional to 35,872.32, 53,784.18 and 12,486 is: 18,720.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,872.32 : 53,784.18 = 12,486 : x
  2. Step 2: Convert to fraction form
    35,872.32/53,784.18 = 12,486/x
  3. Step 3: Cross multiply
    35,872.32x = 53,784.18 × 12,486
  4. Step 4: Simplify right side
    35,872.32x = 671,549,271.48
  5. Step 5: Solve for x
    x = 671,549,271.48/35,872.32
  6. Step 6: Final answer
    x = 18,720.54

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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.