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Finding the Fourth Proportional to 22,683.90, 31,307.65 and 14,615.28

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Solution

The fourth proportional to 22,683.90, 31,307.65 and 14,615.28 is: 20,171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,683.90 : 31,307.65 = 14,615.28 : x
  2. Step 2: Convert to fraction form
    22,683.90/31,307.65 = 14,615.28/x
  3. Step 3: Cross multiply
    22,683.90x = 31,307.65 × 14,615.28
  4. Step 4: Simplify right side
    22,683.90x = 457,570,070.89
  5. Step 5: Solve for x
    x = 457,570,070.89/22,683.90
  6. Step 6: Final answer
    x = 20,171.58

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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.