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Finding the Fourth Proportional to 14,069.22, 19,409.97 and 9,032.64

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Solution

The fourth proportional to 14,069.22, 19,409.97 and 9,032.64 is: 12,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,069.22 : 19,409.97 = 9,032.64 : x
  2. Step 2: Convert to fraction form
    14,069.22/19,409.97 = 9,032.64/x
  3. Step 3: Cross multiply
    14,069.22x = 19,409.97 × 9,032.64
  4. Step 4: Simplify right side
    14,069.22x = 175,323,271.42
  5. Step 5: Solve for x
    x = 175,323,271.42/14,069.22
  6. Step 6: Final answer
    x = 12,461.48

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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.