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Finding the Fourth Proportional to 14,230.86, 19,634.90 and 9,756.01

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Solution

The fourth proportional to 14,230.86, 19,634.90 and 9,756.01 is: 13,460.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,230.86 : 19,634.90 = 9,756.01 : x
  2. Step 2: Convert to fraction form
    14,230.86/19,634.90 = 9,756.01/x
  3. Step 3: Cross multiply
    14,230.86x = 19,634.90 × 9,756.01
  4. Step 4: Simplify right side
    14,230.86x = 191,558,280.75
  5. Step 5: Solve for x
    x = 191,558,280.75/14,230.86
  6. Step 6: Final answer
    x = 13,460.77

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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.