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Finding the Fourth Proportional to 15,931.29, 23,903.48 and 7,041.93

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Solution

The fourth proportional to 15,931.29, 23,903.48 and 7,041.93 is: 10,565.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,931.29 : 23,903.48 = 7,041.93 : x
  2. Step 2: Convert to fraction form
    15,931.29/23,903.48 = 7,041.93/x
  3. Step 3: Cross multiply
    15,931.29x = 23,903.48 × 7,041.93
  4. Step 4: Simplify right side
    15,931.29x = 168,326,632.92
  5. Step 5: Solve for x
    x = 168,326,632.92/15,931.29
  6. Step 6: Final answer
    x = 10,565.79

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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.