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Finding the Fourth Proportional to 14,032.86, 19,365.46 and 7,659.50

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Solution

The fourth proportional to 14,032.86, 19,365.46 and 7,659.50 is: 10,570.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032.86 : 19,365.46 = 7,659.50 : x
  2. Step 2: Convert to fraction form
    14,032.86/19,365.46 = 7,659.50/x
  3. Step 3: Cross multiply
    14,032.86x = 19,365.46 × 7,659.50
  4. Step 4: Simplify right side
    14,032.86x = 148,329,740.87
  5. Step 5: Solve for x
    x = 148,329,740.87/14,032.86
  6. Step 6: Final answer
    x = 10,570.17

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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.