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Finding the Fourth Proportional to 14,406.85, 19,883.64 and 10,426.51

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Solution

The fourth proportional to 14,406.85, 19,883.64 and 10,426.51 is: 14,390.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406.85 : 19,883.64 = 10,426.51 : x
  2. Step 2: Convert to fraction form
    14,406.85/19,883.64 = 10,426.51/x
  3. Step 3: Cross multiply
    14,406.85x = 19,883.64 × 10,426.51
  4. Step 4: Simplify right side
    14,406.85x = 207,316,971.30
  5. Step 5: Solve for x
    x = 207,316,971.30/14,406.85
  6. Step 6: Final answer
    x = 14,390.17

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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.