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Finding the Fourth Proportional to 22,570.40, 31,114.69 and 15,835.16

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Solution

The fourth proportional to 22,570.40, 31,114.69 and 15,835.16 is: 21,829.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,570.40 : 31,114.69 = 15,835.16 : x
  2. Step 2: Convert to fraction form
    22,570.40/31,114.69 = 15,835.16/x
  3. Step 3: Cross multiply
    22,570.40x = 31,114.69 × 15,835.16
  4. Step 4: Simplify right side
    22,570.40x = 492,706,094.50
  5. Step 5: Solve for x
    x = 492,706,094.50/22,570.40
  6. Step 6: Final answer
    x = 21,829.75

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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.