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Finding the Fourth Proportional to 22,509.16, 31,061.07 and 12,437.42

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Solution

The fourth proportional to 22,509.16, 31,061.07 and 12,437.42 is: 17,162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.16 : 31,061.07 = 12,437.42 : x
  2. Step 2: Convert to fraction form
    22,509.16/31,061.07 = 12,437.42/x
  3. Step 3: Cross multiply
    22,509.16x = 31,061.07 × 12,437.42
  4. Step 4: Simplify right side
    22,509.16x = 386,319,417.93
  5. Step 5: Solve for x
    x = 386,319,417.93/22,509.16
  6. Step 6: Final answer
    x = 17,162.77

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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.