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Finding the Fourth Proportional to 27,429.84, 37,852.98 and 14,854.50

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Solution

The fourth proportional to 27,429.84, 37,852.98 and 14,854.50 is: 20,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,429.84 : 37,852.98 = 14,854.50 : x
  2. Step 2: Convert to fraction form
    27,429.84/37,852.98 = 14,854.50/x
  3. Step 3: Cross multiply
    27,429.84x = 37,852.98 × 14,854.50
  4. Step 4: Simplify right side
    27,429.84x = 562,287,091.41
  5. Step 5: Solve for x
    x = 562,287,091.41/27,429.84
  6. Step 6: Final answer
    x = 20,499.10

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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.