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Finding the Fourth Proportional to 23,458, 32,373.12 and 12,848.08

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Solution

The fourth proportional to 23,458, 32,373.12 and 12,848.08 is: 17,730.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,458 : 32,373.12 = 12,848.08 : x
  2. Step 2: Convert to fraction form
    23,458/32,373.12 = 12,848.08/x
  3. Step 3: Cross multiply
    23,458x = 32,373.12 × 12,848.08
  4. Step 4: Simplify right side
    23,458x = 415,932,435.61
  5. Step 5: Solve for x
    x = 415,932,435.61/23,458
  6. Step 6: Final answer
    x = 17,730.94

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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.