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Finding the Fourth Proportional to 21,170.84, 31,752.61 and 7,842.29

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Solution

The fourth proportional to 21,170.84, 31,752.61 and 7,842.29 is: 11,762.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,170.84 : 31,752.61 = 7,842.29 : x
  2. Step 2: Convert to fraction form
    21,170.84/31,752.61 = 7,842.29/x
  3. Step 3: Cross multiply
    21,170.84x = 31,752.61 × 7,842.29
  4. Step 4: Simplify right side
    21,170.84x = 249,012,997.51
  5. Step 5: Solve for x
    x = 249,012,997.51/21,170.84
  6. Step 6: Final answer
    x = 11,762.08

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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.