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Finding the Fourth Proportional to 19,699.40, 29,543.90 and 9,831.40

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Solution

The fourth proportional to 19,699.40, 29,543.90 and 9,831.40 is: 14,744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,699.40 : 29,543.90 = 9,831.40 : x
  2. Step 2: Convert to fraction form
    19,699.40/29,543.90 = 9,831.40/x
  3. Step 3: Cross multiply
    19,699.40x = 29,543.90 × 9,831.40
  4. Step 4: Simplify right side
    19,699.40x = 290,457,898.46
  5. Step 5: Solve for x
    x = 290,457,898.46/19,699.40
  6. Step 6: Final answer
    x = 14,744.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.