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Finding the Fourth Proportional to 17,242.32, 23,792.94 and 9,688.06

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Solution

The fourth proportional to 17,242.32, 23,792.94 and 9,688.06 is: 13,368.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,242.32 : 23,792.94 = 9,688.06 : x
  2. Step 2: Convert to fraction form
    17,242.32/23,792.94 = 9,688.06/x
  3. Step 3: Cross multiply
    17,242.32x = 23,792.94 × 9,688.06
  4. Step 4: Simplify right side
    17,242.32x = 230,507,430.30
  5. Step 5: Solve for x
    x = 230,507,430.30/17,242.32
  6. Step 6: Final answer
    x = 13,368.70

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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.