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Finding the Fourth Proportional to 27,312.93, 40,969.53 and 9,543.51

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Solution

The fourth proportional to 27,312.93, 40,969.53 and 9,543.51 is: 14,315.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,312.93 : 40,969.53 = 9,543.51 : x
  2. Step 2: Convert to fraction form
    27,312.93/40,969.53 = 9,543.51/x
  3. Step 3: Cross multiply
    27,312.93x = 40,969.53 × 9,543.51
  4. Step 4: Simplify right side
    27,312.93x = 390,993,119.25
  5. Step 5: Solve for x
    x = 390,993,119.25/27,312.93
  6. Step 6: Final answer
    x = 14,315.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.