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Finding the Fourth Proportional to 15,894.51, 23,841.36 and 7,580.40

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Solution

The fourth proportional to 15,894.51, 23,841.36 and 7,580.40 is: 11,370.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.51 : 23,841.36 = 7,580.40 : x
  2. Step 2: Convert to fraction form
    15,894.51/23,841.36 = 7,580.40/x
  3. Step 3: Cross multiply
    15,894.51x = 23,841.36 × 7,580.40
  4. Step 4: Simplify right side
    15,894.51x = 180,727,045.34
  5. Step 5: Solve for x
    x = 180,727,045.34/15,894.51
  6. Step 6: Final answer
    x = 11,370.41

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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.