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Finding the Fourth Proportional to 15,368.50, 23,047.60 and 6,006.10

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Solution

The fourth proportional to 15,368.50, 23,047.60 and 6,006.10 is: 9,007.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,368.50 : 23,047.60 = 6,006.10 : x
  2. Step 2: Convert to fraction form
    15,368.50/23,047.60 = 6,006.10/x
  3. Step 3: Cross multiply
    15,368.50x = 23,047.60 × 6,006.10
  4. Step 4: Simplify right side
    15,368.50x = 138,426,190.36
  5. Step 5: Solve for x
    x = 138,426,190.36/15,368.50
  6. Step 6: Final answer
    x = 9,007.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.