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Finding the Fourth Proportional to 14,570.02, 20,094.86 and 9,788.52

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Solution

The fourth proportional to 14,570.02, 20,094.86 and 9,788.52 is: 13,500.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,570.02 : 20,094.86 = 9,788.52 : x
  2. Step 2: Convert to fraction form
    14,570.02/20,094.86 = 9,788.52/x
  3. Step 3: Cross multiply
    14,570.02x = 20,094.86 × 9,788.52
  4. Step 4: Simplify right side
    14,570.02x = 196,698,939.01
  5. Step 5: Solve for x
    x = 196,698,939.01/14,570.02
  6. Step 6: Final answer
    x = 13,500.25

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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.