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Finding the Fourth Proportional to 13,854.90, 19,095.04 and 10,489.66

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Solution

The fourth proportional to 13,854.90, 19,095.04 and 10,489.66 is: 14,457.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854.90 : 19,095.04 = 10,489.66 : x
  2. Step 2: Convert to fraction form
    13,854.90/19,095.04 = 10,489.66/x
  3. Step 3: Cross multiply
    13,854.90x = 19,095.04 × 10,489.66
  4. Step 4: Simplify right side
    13,854.90x = 200,300,477.29
  5. Step 5: Solve for x
    x = 200,300,477.29/13,854.90
  6. Step 6: Final answer
    x = 14,457.01

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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.