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Finding the Fourth Proportional to 23,898.81, 32,973.71 and 14,332.71

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Solution

The fourth proportional to 23,898.81, 32,973.71 and 14,332.71 is: 19,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,898.81 : 32,973.71 = 14,332.71 : x
  2. Step 2: Convert to fraction form
    23,898.81/32,973.71 = 14,332.71/x
  3. Step 3: Cross multiply
    23,898.81x = 32,973.71 × 14,332.71
  4. Step 4: Simplify right side
    23,898.81x = 472,602,551.39
  5. Step 5: Solve for x
    x = 472,602,551.39/23,898.81
  6. Step 6: Final answer
    x = 19,775.15

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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.