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Finding the Fourth Proportional to 14,865, 20,518.56 and 10,685.40

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Solution

The fourth proportional to 14,865, 20,518.56 and 10,685.40 is: 14,749.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,865 : 20,518.56 = 10,685.40 : x
  2. Step 2: Convert to fraction form
    14,865/20,518.56 = 10,685.40/x
  3. Step 3: Cross multiply
    14,865x = 20,518.56 × 10,685.40
  4. Step 4: Simplify right side
    14,865x = 219,249,021.02
  5. Step 5: Solve for x
    x = 219,249,021.02/14,865
  6. Step 6: Final answer
    x = 14,749.35

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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.