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Finding the Fourth Proportional to 14,457.60, 19,952.32 and 8,172.16

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Solution

The fourth proportional to 14,457.60, 19,952.32 and 8,172.16 is: 11,278.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,457.60 : 19,952.32 = 8,172.16 : x
  2. Step 2: Convert to fraction form
    14,457.60/19,952.32 = 8,172.16/x
  3. Step 3: Cross multiply
    14,457.60x = 19,952.32 × 8,172.16
  4. Step 4: Simplify right side
    14,457.60x = 163,053,551.41
  5. Step 5: Solve for x
    x = 163,053,551.41/14,457.60
  6. Step 6: Final answer
    x = 11,278.05

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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.