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Finding the Fourth Proportional to 11,000.16, 16,420.58 and 9,670.08

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Solution

The fourth proportional to 11,000.16, 16,420.58 and 9,670.08 is: 14,435.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000.16 : 16,420.58 = 9,670.08 : x
  2. Step 2: Convert to fraction form
    11,000.16/16,420.58 = 9,670.08/x
  3. Step 3: Cross multiply
    11,000.16x = 16,420.58 × 9,670.08
  4. Step 4: Simplify right side
    11,000.16x = 158,788,322.25
  5. Step 5: Solve for x
    x = 158,788,322.25/11,000.16
  6. Step 6: Final answer
    x = 14,435.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.