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Finding the Fourth Proportional to 13,142.80, 19,762.80 and 11,004.40

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Solution

The fourth proportional to 13,142.80, 19,762.80 and 11,004.40 is: 16,547.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.80 : 19,762.80 = 11,004.40 : x
  2. Step 2: Convert to fraction form
    13,142.80/19,762.80 = 11,004.40/x
  3. Step 3: Cross multiply
    13,142.80x = 19,762.80 × 11,004.40
  4. Step 4: Simplify right side
    13,142.80x = 217,477,756.32
  5. Step 5: Solve for x
    x = 217,477,756.32/13,142.80
  6. Step 6: Final answer
    x = 16,547.29

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