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Finding the Fourth Proportional to 13,109.58, 19,652.54 and 4,783.68

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Solution

The fourth proportional to 13,109.58, 19,652.54 and 4,783.68 is: 7,171.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,109.58 : 19,652.54 = 4,783.68 : x
  2. Step 2: Convert to fraction form
    13,109.58/19,652.54 = 4,783.68/x
  3. Step 3: Cross multiply
    13,109.58x = 19,652.54 × 4,783.68
  4. Step 4: Simplify right side
    13,109.58x = 94,011,438.63
  5. Step 5: Solve for x
    x = 94,011,438.63/13,109.58
  6. Step 6: Final answer
    x = 7,171.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.