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Finding the Fourth Proportional to 14,275.71, 19,695.95 and 8,306.23

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Solution

The fourth proportional to 14,275.71, 19,695.95 and 8,306.23 is: 11,459.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,275.71 : 19,695.95 = 8,306.23 : x
  2. Step 2: Convert to fraction form
    14,275.71/19,695.95 = 8,306.23/x
  3. Step 3: Cross multiply
    14,275.71x = 19,695.95 × 8,306.23
  4. Step 4: Simplify right side
    14,275.71x = 163,599,090.77
  5. Step 5: Solve for x
    x = 163,599,090.77/14,275.71
  6. Step 6: Final answer
    x = 11,459.96

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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.