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Finding the Fourth Proportional to 16,492.68, 22,762.62 and 9,421.32

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Solution

The fourth proportional to 16,492.68, 22,762.62 and 9,421.32 is: 13,002.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,492.68 : 22,762.62 = 9,421.32 : x
  2. Step 2: Convert to fraction form
    16,492.68/22,762.62 = 9,421.32/x
  3. Step 3: Cross multiply
    16,492.68x = 22,762.62 × 9,421.32
  4. Step 4: Simplify right side
    16,492.68x = 214,453,927.06
  5. Step 5: Solve for x
    x = 214,453,927.06/16,492.68
  6. Step 6: Final answer
    x = 13,002.98

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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.