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Finding the Fourth Proportional to 27,478.24, 37,920.08 and 14,903.20

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Solution

The fourth proportional to 27,478.24, 37,920.08 and 14,903.20 is: 20,566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,478.24 : 37,920.08 = 14,903.20 : x
  2. Step 2: Convert to fraction form
    27,478.24/37,920.08 = 14,903.20/x
  3. Step 3: Cross multiply
    27,478.24x = 37,920.08 × 14,903.20
  4. Step 4: Simplify right side
    27,478.24x = 565,130,536.26
  5. Step 5: Solve for x
    x = 565,130,536.26/27,478.24
  6. Step 6: Final answer
    x = 20,566.48

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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.