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Finding the Fourth Proportional to 14,254.01, 19,677.45 and 10,014.08

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Solution

The fourth proportional to 14,254.01, 19,677.45 and 10,014.08 is: 13,824.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,254.01 : 19,677.45 = 10,014.08 : x
  2. Step 2: Convert to fraction form
    14,254.01/19,677.45 = 10,014.08/x
  3. Step 3: Cross multiply
    14,254.01x = 19,677.45 × 10,014.08
  4. Step 4: Simplify right side
    14,254.01x = 197,051,558.50
  5. Step 5: Solve for x
    x = 197,051,558.50/14,254.01
  6. Step 6: Final answer
    x = 13,824.29

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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.