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Finding the Fourth Proportional to 14,158.86, 19,539.46 and 7,785.74

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Solution

The fourth proportional to 14,158.86, 19,539.46 and 7,785.74 is: 10,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,158.86 : 19,539.46 = 7,785.74 : x
  2. Step 2: Convert to fraction form
    14,158.86/19,539.46 = 7,785.74/x
  3. Step 3: Cross multiply
    14,158.86x = 19,539.46 × 7,785.74
  4. Step 4: Simplify right side
    14,158.86x = 152,129,155.30
  5. Step 5: Solve for x
    x = 152,129,155.30/14,158.86
  6. Step 6: Final answer
    x = 10,744.45

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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.