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Finding the Fourth Proportional to 27,430.48, 37,854 and 14,855.20

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Solution

The fourth proportional to 27,430.48, 37,854 and 14,855.20 is: 20,500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,430.48 : 37,854 = 14,855.20 : x
  2. Step 2: Convert to fraction form
    27,430.48/37,854 = 14,855.20/x
  3. Step 3: Cross multiply
    27,430.48x = 37,854 × 14,855.20
  4. Step 4: Simplify right side
    27,430.48x = 562,328,740.80
  5. Step 5: Solve for x
    x = 562,328,740.80/27,430.48
  6. Step 6: Final answer
    x = 20,500.14

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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.