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Finding the Fourth Proportional to 21,036.45, 31,570.32 and 9,946.53

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Solution

The fourth proportional to 21,036.45, 31,570.32 and 9,946.53 is: 14,927.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,036.45 : 31,570.32 = 9,946.53 : x
  2. Step 2: Convert to fraction form
    21,036.45/31,570.32 = 9,946.53/x
  3. Step 3: Cross multiply
    21,036.45x = 31,570.32 × 9,946.53
  4. Step 4: Simplify right side
    21,036.45x = 314,015,134.99
  5. Step 5: Solve for x
    x = 314,015,134.99/21,036.45
  6. Step 6: Final answer
    x = 14,927.19

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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.