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Finding the Fourth Proportional to 14,107.23, 19,460.93 and 9,005.18

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Solution

The fourth proportional to 14,107.23, 19,460.93 and 9,005.18 is: 12,422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.23 : 19,460.93 = 9,005.18 : x
  2. Step 2: Convert to fraction form
    14,107.23/19,460.93 = 9,005.18/x
  3. Step 3: Cross multiply
    14,107.23x = 19,460.93 × 9,005.18
  4. Step 4: Simplify right side
    14,107.23x = 175,249,035.29
  5. Step 5: Solve for x
    x = 175,249,035.29/14,107.23
  6. Step 6: Final answer
    x = 12,422.64

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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.