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Finding the Fourth Proportional to 21,012.16, 31,499.16 and 10,485.40

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Solution

The fourth proportional to 21,012.16, 31,499.16 and 10,485.40 is: 15,718.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,012.16 : 31,499.16 = 10,485.40 : x
  2. Step 2: Convert to fraction form
    21,012.16/31,499.16 = 10,485.40/x
  3. Step 3: Cross multiply
    21,012.16x = 31,499.16 × 10,485.40
  4. Step 4: Simplify right side
    21,012.16x = 330,281,292.26
  5. Step 5: Solve for x
    x = 330,281,292.26/21,012.16
  6. Step 6: Final answer
    x = 15,718.58

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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.