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Finding the Fourth Proportional to 14,457.14, 19,946.78 and 9,080.16

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Solution

The fourth proportional to 14,457.14, 19,946.78 and 9,080.16 is: 12,528.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,457.14 : 19,946.78 = 9,080.16 : x
  2. Step 2: Convert to fraction form
    14,457.14/19,946.78 = 9,080.16/x
  3. Step 3: Cross multiply
    14,457.14x = 19,946.78 × 9,080.16
  4. Step 4: Simplify right side
    14,457.14x = 181,119,953.88
  5. Step 5: Solve for x
    x = 181,119,953.88/14,457.14
  6. Step 6: Final answer
    x = 12,528.06

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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.