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Finding the Fourth Proportional to 38,964, 58,416.80 and 12,653.04

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Solution

The fourth proportional to 38,964, 58,416.80 and 12,653.04 is: 18,970.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,964 : 58,416.80 = 12,653.04 : x
  2. Step 2: Convert to fraction form
    38,964/58,416.80 = 12,653.04/x
  3. Step 3: Cross multiply
    38,964x = 58,416.80 × 12,653.04
  4. Step 4: Simplify right side
    38,964x = 739,150,107.07
  5. Step 5: Solve for x
    x = 739,150,107.07/38,964
  6. Step 6: Final answer
    x = 18,970.08

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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.