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Finding the Fourth Proportional to 24,896, 34,358.64 and 13,720.16

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Solution

The fourth proportional to 24,896, 34,358.64 and 13,720.16 is: 18,935.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,896 : 34,358.64 = 13,720.16 : x
  2. Step 2: Convert to fraction form
    24,896/34,358.64 = 13,720.16/x
  3. Step 3: Cross multiply
    24,896x = 34,358.64 × 13,720.16
  4. Step 4: Simplify right side
    24,896x = 471,406,038.18
  5. Step 5: Solve for x
    x = 471,406,038.18/24,896
  6. Step 6: Final answer
    x = 18,935.01

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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.