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Finding the Fourth Proportional to 28,443.60, 42,674.76 and 13,457.16

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Solution

The fourth proportional to 28,443.60, 42,674.76 and 13,457.16 is: 20,190.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,443.60 : 42,674.76 = 13,457.16 : x
  2. Step 2: Convert to fraction form
    28,443.60/42,674.76 = 13,457.16/x
  3. Step 3: Cross multiply
    28,443.60x = 42,674.76 × 13,457.16
  4. Step 4: Simplify right side
    28,443.60x = 574,281,073.28
  5. Step 5: Solve for x
    x = 574,281,073.28/28,443.60
  6. Step 6: Final answer
    x = 20,190.17

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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.