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Finding the Fourth Proportional to 14,712.39, 20,307.74 and 9,407.23

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Solution

The fourth proportional to 14,712.39, 20,307.74 and 9,407.23 is: 12,984.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,712.39 : 20,307.74 = 9,407.23 : x
  2. Step 2: Convert to fraction form
    14,712.39/20,307.74 = 9,407.23/x
  3. Step 3: Cross multiply
    14,712.39x = 20,307.74 × 9,407.23
  4. Step 4: Simplify right side
    14,712.39x = 191,039,580.96
  5. Step 5: Solve for x
    x = 191,039,580.96/14,712.39
  6. Step 6: Final answer
    x = 12,984.95

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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.