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Finding the Fourth Proportional to 13,495.76, 18,618.36 and 7,830.08

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Solution

The fourth proportional to 13,495.76, 18,618.36 and 7,830.08 is: 10,802.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,495.76 : 18,618.36 = 7,830.08 : x
  2. Step 2: Convert to fraction form
    13,495.76/18,618.36 = 7,830.08/x
  3. Step 3: Cross multiply
    13,495.76x = 18,618.36 × 7,830.08
  4. Step 4: Simplify right side
    13,495.76x = 145,783,248.27
  5. Step 5: Solve for x
    x = 145,783,248.27/13,495.76
  6. Step 6: Final answer
    x = 10,802.15

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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.