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Finding the Fourth Proportional to 14,248.86, 19,652.94 and 10,470.75

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Solution

The fourth proportional to 14,248.86, 19,652.94 and 10,470.75 is: 14,441.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,248.86 : 19,652.94 = 10,470.75 : x
  2. Step 2: Convert to fraction form
    14,248.86/19,652.94 = 10,470.75/x
  3. Step 3: Cross multiply
    14,248.86x = 19,652.94 × 10,470.75
  4. Step 4: Simplify right side
    14,248.86x = 205,781,021.51
  5. Step 5: Solve for x
    x = 205,781,021.51/14,248.86
  6. Step 6: Final answer
    x = 14,441.93

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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.