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Finding the Fourth Proportional to 14,784.16, 20,374.08 and 10,585.12

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Solution

The fourth proportional to 14,784.16, 20,374.08 and 10,585.12 is: 14,587.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,784.16 : 20,374.08 = 10,585.12 : x
  2. Step 2: Convert to fraction form
    14,784.16/20,374.08 = 10,585.12/x
  3. Step 3: Cross multiply
    14,784.16x = 20,374.08 × 10,585.12
  4. Step 4: Simplify right side
    14,784.16x = 215,662,081.69
  5. Step 5: Solve for x
    x = 215,662,081.69/14,784.16
  6. Step 6: Final answer
    x = 14,587.37

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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.