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Finding the Fourth Proportional to 27,507, 37,959.57 and 14,931.66

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Solution

The fourth proportional to 27,507, 37,959.57 and 14,931.66 is: 20,605.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,507 : 37,959.57 = 14,931.66 : x
  2. Step 2: Convert to fraction form
    27,507/37,959.57 = 14,931.66/x
  3. Step 3: Cross multiply
    27,507x = 37,959.57 × 14,931.66
  4. Step 4: Simplify right side
    27,507x = 566,799,392.99
  5. Step 5: Solve for x
    x = 566,799,392.99/27,507
  6. Step 6: Final answer
    x = 20,605.64

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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.