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Finding the Fourth Proportional to 27,334.16, 37,719.24 and 16,154

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Solution

The fourth proportional to 27,334.16, 37,719.24 and 16,154 is: 22,291.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,334.16 : 37,719.24 = 16,154 : x
  2. Step 2: Convert to fraction form
    27,334.16/37,719.24 = 16,154/x
  3. Step 3: Cross multiply
    27,334.16x = 37,719.24 × 16,154
  4. Step 4: Simplify right side
    27,334.16x = 609,316,602.96
  5. Step 5: Solve for x
    x = 609,316,602.96/27,334.16
  6. Step 6: Final answer
    x = 22,291.40

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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.