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Finding the Fourth Proportional to 15,698.34, 23,547.50 and 6,931.50

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Solution

The fourth proportional to 15,698.34, 23,547.50 and 6,931.50 is: 10,397.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,698.34 : 23,547.50 = 6,931.50 : x
  2. Step 2: Convert to fraction form
    15,698.34/23,547.50 = 6,931.50/x
  3. Step 3: Cross multiply
    15,698.34x = 23,547.50 × 6,931.50
  4. Step 4: Simplify right side
    15,698.34x = 163,219,461.59
  5. Step 5: Solve for x
    x = 163,219,461.59/15,698.34
  6. Step 6: Final answer
    x = 10,397.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.