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Finding the Fourth Proportional to 22,483, 31,026.66 and 12,547

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Solution

The fourth proportional to 22,483, 31,026.66 and 12,547 is: 17,314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,483 : 31,026.66 = 12,547 : x
  2. Step 2: Convert to fraction form
    22,483/31,026.66 = 12,547/x
  3. Step 3: Cross multiply
    22,483x = 31,026.66 × 12,547
  4. Step 4: Simplify right side
    22,483x = 389,291,503.02
  5. Step 5: Solve for x
    x = 389,291,503.02/22,483
  6. Step 6: Final answer
    x = 17,314.93

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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.