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Finding the Fourth Proportional to 27,312.68, 40,967.58 and 13,457

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Solution

The fourth proportional to 27,312.68, 40,967.58 and 13,457 is: 20,184.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,312.68 : 40,967.58 = 13,457 : x
  2. Step 2: Convert to fraction form
    27,312.68/40,967.58 = 13,457/x
  3. Step 3: Cross multiply
    27,312.68x = 40,967.58 × 13,457
  4. Step 4: Simplify right side
    27,312.68x = 551,300,724.06
  5. Step 5: Solve for x
    x = 551,300,724.06/27,312.68
  6. Step 6: Final answer
    x = 20,184.79

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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.