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Finding the Fourth Proportional to 21,291.63, 31,948.38 and 9,453.53

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Solution

The fourth proportional to 21,291.63, 31,948.38 and 9,453.53 is: 14,185.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,291.63 : 31,948.38 = 9,453.53 : x
  2. Step 2: Convert to fraction form
    21,291.63/31,948.38 = 9,453.53/x
  3. Step 3: Cross multiply
    21,291.63x = 31,948.38 × 9,453.53
  4. Step 4: Simplify right side
    21,291.63x = 302,024,809.04
  5. Step 5: Solve for x
    x = 302,024,809.04/21,291.63
  6. Step 6: Final answer
    x = 14,185.14

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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.