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Finding the Fourth Proportional to 14,070.81, 19,406.90 and 9,820.51

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Solution

The fourth proportional to 14,070.81, 19,406.90 and 9,820.51 is: 13,544.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,070.81 : 19,406.90 = 9,820.51 : x
  2. Step 2: Convert to fraction form
    14,070.81/19,406.90 = 9,820.51/x
  3. Step 3: Cross multiply
    14,070.81x = 19,406.90 × 9,820.51
  4. Step 4: Simplify right side
    14,070.81x = 190,585,606.42
  5. Step 5: Solve for x
    x = 190,585,606.42/14,070.81
  6. Step 6: Final answer
    x = 13,544.75

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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.