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Finding the Fourth Proportional to 16,681.60, 23,024.64 and 9,612.16

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Solution

The fourth proportional to 16,681.60, 23,024.64 and 9,612.16 is: 13,267.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,681.60 : 23,024.64 = 9,612.16 : x
  2. Step 2: Convert to fraction form
    16,681.60/23,024.64 = 9,612.16/x
  3. Step 3: Cross multiply
    16,681.60x = 23,024.64 × 9,612.16
  4. Step 4: Simplify right side
    16,681.60x = 221,316,523.62
  5. Step 5: Solve for x
    x = 221,316,523.62/16,681.60
  6. Step 6: Final answer
    x = 13,267.10

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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.