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Finding the Fourth Proportional to 14,537.52, 20,069.64 and 9,830.16

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Solution

The fourth proportional to 14,537.52, 20,069.64 and 9,830.16 is: 13,570.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537.52 : 20,069.64 = 9,830.16 : x
  2. Step 2: Convert to fraction form
    14,537.52/20,069.64 = 9,830.16/x
  3. Step 3: Cross multiply
    14,537.52x = 20,069.64 × 9,830.16
  4. Step 4: Simplify right side
    14,537.52x = 197,287,772.34
  5. Step 5: Solve for x
    x = 197,287,772.34/14,537.52
  6. Step 6: Final answer
    x = 13,570.94

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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.