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Finding the Fourth Proportional to 20,457.84, 30,666.24 and 13,070.64

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Solution

The fourth proportional to 20,457.84, 30,666.24 and 13,070.64 is: 19,592.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,457.84 : 30,666.24 = 13,070.64 : x
  2. Step 2: Convert to fraction form
    20,457.84/30,666.24 = 13,070.64/x
  3. Step 3: Cross multiply
    20,457.84x = 30,666.24 × 13,070.64
  4. Step 4: Simplify right side
    20,457.84x = 400,827,383.19
  5. Step 5: Solve for x
    x = 400,827,383.19/20,457.84
  6. Step 6: Final answer
    x = 19,592.85

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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.