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Finding the Fourth Proportional to 27,570.84, 38,048.96 and 16,964

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Solution

The fourth proportional to 27,570.84, 38,048.96 and 16,964 is: 23,411.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,570.84 : 38,048.96 = 16,964 : x
  2. Step 2: Convert to fraction form
    27,570.84/38,048.96 = 16,964/x
  3. Step 3: Cross multiply
    27,570.84x = 38,048.96 × 16,964
  4. Step 4: Simplify right side
    27,570.84x = 645,462,557.44
  5. Step 5: Solve for x
    x = 645,462,557.44/27,570.84
  6. Step 6: Final answer
    x = 23,411.06

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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.