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Finding the Fourth Proportional to 14,784.64, 20,412.40 and 11,421.60

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Solution

The fourth proportional to 14,784.64, 20,412.40 and 11,421.60 is: 15,769.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,784.64 : 20,412.40 = 11,421.60 : x
  2. Step 2: Convert to fraction form
    14,784.64/20,412.40 = 11,421.60/x
  3. Step 3: Cross multiply
    14,784.64x = 20,412.40 × 11,421.60
  4. Step 4: Simplify right side
    14,784.64x = 233,142,267.84
  5. Step 5: Solve for x
    x = 233,142,267.84/14,784.64
  6. Step 6: Final answer
    x = 15,769.22

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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.