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Finding the Fourth Proportional to 23,618, 32,592.84 and 13,007.63

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Solution

The fourth proportional to 23,618, 32,592.84 and 13,007.63 is: 17,950.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,618 : 32,592.84 = 13,007.63 : x
  2. Step 2: Convert to fraction form
    23,618/32,592.84 = 13,007.63/x
  3. Step 3: Cross multiply
    23,618x = 32,592.84 × 13,007.63
  4. Step 4: Simplify right side
    23,618x = 423,955,603.37
  5. Step 5: Solve for x
    x = 423,955,603.37/23,618
  6. Step 6: Final answer
    x = 17,950.53

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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.