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Finding the Fourth Proportional to 14,903.96, 20,564.65 and 10,127.72

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Solution

The fourth proportional to 14,903.96, 20,564.65 and 10,127.72 is: 13,974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,903.96 : 20,564.65 = 10,127.72 : x
  2. Step 2: Convert to fraction form
    14,903.96/20,564.65 = 10,127.72/x
  3. Step 3: Cross multiply
    14,903.96x = 20,564.65 × 10,127.72
  4. Step 4: Simplify right side
    14,903.96x = 208,273,017.10
  5. Step 5: Solve for x
    x = 208,273,017.10/14,903.96
  6. Step 6: Final answer
    x = 13,974.34

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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.