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Finding the Fourth Proportional to 15,722.10, 21,695.99 and 9,348.68

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Solution

The fourth proportional to 15,722.10, 21,695.99 and 9,348.68 is: 12,900.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,722.10 : 21,695.99 = 9,348.68 : x
  2. Step 2: Convert to fraction form
    15,722.10/21,695.99 = 9,348.68/x
  3. Step 3: Cross multiply
    15,722.10x = 21,695.99 × 9,348.68
  4. Step 4: Simplify right side
    15,722.10x = 202,828,875.29
  5. Step 5: Solve for x
    x = 202,828,875.29/15,722.10
  6. Step 6: Final answer
    x = 12,900.88

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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.