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Finding the Fourth Proportional to 14,707.40, 20,290.88 and 9,405.14

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Solution

The fourth proportional to 14,707.40, 20,290.88 and 9,405.14 is: 12,975.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,707.40 : 20,290.88 = 9,405.14 : x
  2. Step 2: Convert to fraction form
    14,707.40/20,290.88 = 9,405.14/x
  3. Step 3: Cross multiply
    14,707.40x = 20,290.88 × 9,405.14
  4. Step 4: Simplify right side
    14,707.40x = 190,838,567.12
  5. Step 5: Solve for x
    x = 190,838,567.12/14,707.40
  6. Step 6: Final answer
    x = 12,975.68

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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.