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Finding the Fourth Proportional to 13,457.95, 20,177.80 and 7,538.91

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Solution

The fourth proportional to 13,457.95, 20,177.80 and 7,538.91 is: 11,303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457.95 : 20,177.80 = 7,538.91 : x
  2. Step 2: Convert to fraction form
    13,457.95/20,177.80 = 7,538.91/x
  3. Step 3: Cross multiply
    13,457.95x = 20,177.80 × 7,538.91
  4. Step 4: Simplify right side
    13,457.95x = 152,118,618.20
  5. Step 5: Solve for x
    x = 152,118,618.20/13,457.95
  6. Step 6: Final answer
    x = 11,303.25

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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.