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Finding the Fourth Proportional to 16,762.96, 23,130.12 and 9,688.96

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Solution

The fourth proportional to 16,762.96, 23,130.12 and 9,688.96 is: 13,369.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,762.96 : 23,130.12 = 9,688.96 : x
  2. Step 2: Convert to fraction form
    16,762.96/23,130.12 = 9,688.96/x
  3. Step 3: Cross multiply
    16,762.96x = 23,130.12 × 9,688.96
  4. Step 4: Simplify right side
    16,762.96x = 224,106,807.48
  5. Step 5: Solve for x
    x = 224,106,807.48/16,762.96
  6. Step 6: Final answer
    x = 13,369.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.